86973523563543552
86,973,523,563,543,552 is an even composite number composed of six prime numbers multiplied together.
86973523563543552 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 86973523563543552:
210 × 34 × 132 × 23 × 89 × 17412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 23 × 89 × 1741 × 1741)See below for interesting mathematical facts about the number 86973523563543552 from the Numbermatics database.
Names of 86973523563543552
- Cardinal: 86973523563543552 can be written as Eighty-six quadrillion, nine hundred seventy-three trillion, five hundred twenty-three billion, five hundred sixty-three million, five hundred forty-three thousand, five hundred fifty-two.
Scientific notation
- Scientific notation: 8.6973523563543552 × 1016
Factors of 86973523563543552
Divisors of 86973523563543552
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 48 52 54 64 69 72 78 81 89 92 96 104 108 117 128 138 144 156 162 169 178 184 192 207 208 216 234 256 267 276 288 299 312 324 338 351 356 368 384 414 416 432 468 507 512 534 552 576 598 621 624 648 676 702 712 736 768 801 828 832 864 897 936 1014 1024 1053 1068 1104 1152 1157 1196 1242 1248 1296 1352 1404 1424 1472 1521 1536 1602 1656 1664 1728 1741 1794 1863 1872 2028 2047 2106 2136 2208 2304 2314 2392 2403 2484 2496 2592 2691 2704 2808 2848 2944 3042 3072 3204 3312 3328 3456 3471 3482 3588 3726 3744 3887 4056 4094 4212 4272 4416 4563 4608 4628 4784 4806 4968 4992 5184 5223 5382 5408 5616 5696 5888 6084 6141 6408 6624 6656 6912 6942 6964 7176 7209 7452 7488 7774 8073 8112 8188 8424 8544 8832 9126 9216 9256 9568 9612 9936 9984 10368 10413 10446 10764 10816 11232 11392 11661 11776 12168 12282 12816 13248 13312 13689 13824 13884 13928 14352 14418 14904 14976 15041 15548 15669 16146 16224 16376 16848 17088 17664 18252 18423 18512 19136 19224 19872 19968 20736 20826 20892 21528 21632 22464 22633 22784 23322 23552 24219 24336 24564 25632 26496 26611 27378 27648 27768 27856 28704 28836 29808 29952 30082 31096 31239 31338 32292 32448 32752 33696 34176 34983 35328 36504 36846 37024 38272 38448 39744 39936 40043 41472 41652 41784 43056 43264 44928 45123 45266 45568 46644 47007 48438 48672 49128 51264 52992 53222 54756 55269 55536 55712 57408 57672 59616 59904 60164 62192 62478 62676 64584 64896 65504 67392 67899 68352 69966 70656 73008 73692 74048 76544 76896 79488 79833 80086 82944 83304 83568 86112 86528 89856 90246 90532 91136 93288 93717 94014 96876 97344 98256 102528 104949 105984 106444 109512 110538 111072 111424 114816 115344 119232 119808 120129 120328 124384 124956 125352 129168 129792 131008 134784 135369 135798 136704 139932 141021 146016 147384 148096 153088 153792 154949 158976 159666 160172 165807 166608 167136 172224 173056 179712 180492 181064 186576 187434 188028 193752 194688 196512 203697 205056 209898 211968 212888 219024 221076 222144 222848 229632 230688 238464 239499 240258 240656 248768 249912 250704 258336 259584 262016 269568 270738 271596 273408 279864 282042 292032 294229 294768 296192 306176 307584 309898 314847 317952 319332 320344 331614 333216 334272 344448 345943 359424 360387 360984 362128 373152 374868 376056 387504 389376 393024 406107 407394 410112 419796 425776 438048 442152 444288 445696 459264 461376 464847 476928 478998 480516 481312 497536 499824 501408 516672 519168 520559 524032 539136 541476 543192 559728 564084 584064 588458 589536 592384 611091 615168 619796 629694 635904 638664 640688 663228 666432 668544 688896 691886 718497 720774 721968 724256 746304 749736 752112 775008 778752 786048 812214 814788 820224 839592 851552 876096 882687 884304 888576 891392 918528 922752 929694 953856 957996 961032 962624 995072 999648 1002816 1033344 1037829 1041118 1048064 1078272 1081161 1082952 1086384 1119456 1128168 1168128 1176916 1179072 1184768 1218321 1222182 1230336 1239592 1259388 1277328 1281376 1326456 1332864 1337088 1377792 1383772 1394541 1436994 1441548 1443936 1448512 1492608 1499472 1504224 1550016 1557504 1561677 1572096 1624428 1629576 1679184 1703104 1752192 1765374 1768608 1777152 1782784 1833273 1845504 1859388 1907712 1915992 1922064 1925248 1990144 1999296 2005632 2014337 2066688 2075658 2082236 2096128 2155491 2162322 2165904 2172768 2238912 2256336 2336256 2353832 2358144 2436642 2444364 2460672 2479184 2518776 2554656 2562752 2648061 2652912 2665728 2674176 2755584 2767544 2789082 2873988 2883096 2887872 2897024 2985216 2998944 3008448 3031081 3100032 3113487 3123354 3144192 3243483 3248856 3259152 3358368 3406208 3504384 3530748 3537216 3554304 3563827 3666546 3691008 3718776 3831984 3844128 3850496 3980288 3998592 4011264 4028674 4133376 4151316 4164472 4183623 4310982 4324644 4331808 4345536 4477824 4512672 4672512 4685031 4707664 4716288 4873284 4888728 4958368 5037552 5109312 5125504 5296122 5305824 5331456 5348352 5535088 5578164 5747976 5766192 5775744 5794048 5970432 5997888 6016896 6043011 6062162 6200064 6226974 6246708 6288384 6486966 6497712 6518304 6716736 6767267 6812416 7008768 7061496 7074432 7127654 7333092 7382016 7437552 7663968 7688256 7700992 7944183 7997184 8022528 8057348 8266752 8302632 8328944 8367246 8621964 8649288 8663616 8691072 8955648 9025344 9093243 9340461 9370062 9415328 9432576 9746568 9777456 9916736 10075104 10218624 10251008 10592244 10611648 10662912 10691481 11070176 11156328 11495952 11532384 11551488 11588096 11940864 11995776 12033792 12086022 12124324 12400128 12453948 12493416 12550869 12973932 12995424 13036608 13433472 13534534 13624832 14017536 14055093 14122992 14148864 14255308 14666184 14875104 15327936 15376512 15401984 15888366 15994368 16045056 16114696 16605264 16657888 16734492 17243928 17298576 17327232 17382144 17911296 18050688 18129033 18186486 18680922 18740124 18830656 18865152 19493136 19554912 19833472 20150208 20301801 20437248 20502016 21184488 21223296 21382962 22140352 22312656 22991904 23064768 23102976 23176192 23832549 23991552 24067584 24172044 24248648 24800256 24907896 24986832 25101738 25947864 25990848 26073216 26186381 26866944 27069068 27249664 27279729 28021383 28110186 28245984 28297728 28510616 29332368 29750208 30655872 30753024 31776732 31988736 32074443 32229392 33210528 33315776 33468984 34487856 34597152 34654464 34764288 35822592 36101376 36258066 36372972 37361844 37480248 37661312 38986272 39109824 39404053 39666944 40300416 40603602 40874496 41004032 42165279 42368976 42446592 42765924 44280704 44625312 45983808 46129536 46205952 46329751 47665098 47983104 48135168 48344088 48497296 49815792 49973664 50203476 51895728 51981696 52146432 52372762 53733888 54138136 54387099 54559458 56042766 56220372 56491968 56595456 57021232 58664736 59500416 60905403 61311744 61506048 63553464 64148886 64458784 66421056 66631552 66937968 68975712 69194304 69308928 69528576 69714863 72202752 72516132 72745944 74723688 74960496 75322624 77972544 78219648 78559143 78808106 79333888 80600832 81207204 81748992 81839187 84330558 84737952 84893184 85531848 88561408 89250624 91967616 92259072 92659502 95330196 95966208 96223329 96688176 96994592 99631584 99947328 100406952 103791456 103963392 104292864 104745524 107467776 108276272 108774198 109118916 112085532 112440744 112983936 114042464 117329472 118212159 119000832 121810806 122623488 123012096 127106928 128297772 128917568 132842112 133263104 133875936 137951424 138388608 138617856 138989253 139429726 144405504 145032264 145491888 149447376 149920992 150645248 155945088 156439296 157118286 157616212 158667776 161201664 162414408 163161297 163678374 168661116 169475904 169786368 171063696 177122816 178501248 182716209 183935232 184518144 185319004 190660392 192446658 193376352 193989184 199263168 199894656 200813904 207582912 207926784 208585728 209144589 209491048 216552544 217548396 218237832 224171064 224881488 225967872 228084928 234658944 235677429 236424318 238001664 243621612 245246976 245517561 254213856 256595544 257835136 265684224 266526208 267751872 269766209 275902848 276777216 277978506 278859452 288669987 290064528 290983776 298894752 299841984 301290496 311890176 312878592 314236572 315232424 322403328 324828816 326322594 327356748 337322232 338951808 342127392 354245632 354636477 357002496 365432418 367870464 369036288 370638008 381320784 384893316 386752704 387978368 398526336 399789312 401627808 415165824 415853568 416967759 418289178 418982096 433105088 435096792 436475664 448342128 449762976 451935744 456169856 469317888 471354858 472848636 476003328 487243224 491035122 508427712 512252689 513191088 515670272 531368448 533052416 535503744 539532418 548148627 551805696 553554432 555957012 557718904 577339974 580129056 581967552 597789504 599683968 602286763 623780352 625757184 627433767 628473144 630464848 649657632 652645188 654713496 674644464 677903616 684254784 707032287 709272954 714004992 730864836 735740928 741276016 762641568 769786632 773505408 775956736 797052672 799578624 803255616 809298627 830331648 833935518 836578356 837964192 866210176 870193584 872951328 896684256 899525952 903871488 906293219 912339712 938635776 942709716 945697272 974486448 982070244 1016855424 1024505378 1026382176 1031340544 1062736896 1063909431 1071007488 1079064836 1096297254 1103611392 1107108864 1111914024 1115437808 1154679948 1160258112 1163935104 1195579008 1199367936 1204573526 1247560704 1250903277 1254867534 1256946288 1260929696 1299315264 1305290376 1309426992 1349288928 1355807232 1368509568 1414064574 1418545908 1428009984 1461729672 1482552032 1525283136 1536758067 1539573264 1547010816 1551913472 1594105344 1599157248 1606511232 1618597254 1660663296 1667871036 1673156712 1675928384 1732420352 1740387168 1745902656 1793368512 1799051904 1806860289 1812586438 1824679424 1877271552 1882301301 1885419432 1891394544 1948972896 1964140488 2033710848 2049010756 2052764352 2062681088 2121096861 2127818862 2142014976 2158129672 2192594508 2207222784 2223828048 2230875616 2309359896 2320516224 2327870208 2391158016 2398735872 2409147052 2427895881 2501806554 2509735068 2513892576 2521859392 2598630528 2610580752 2618853984 2698577856 2711614464 2718879657 2737019136 2828129148 2837091816 2923459344 2965104064 3050566272 3073516134 3079146528 3094021632 3103826944 3188210688 3191728293 3213022464 3237194508 3321326592 3335742072 3346313424 3351856768 3464840704 3480774336 3491805312 3506960717 3586737024 3598103808 3613720578 3625172876 3649358848 3752709831 3764602602 3770838864 3782789088 3897945792 3928280976 4067421696 4098021512 4105528704 4242193722 4255637724 4284029952 4316259344 4385189016 4447656096 4461751232 4610274201 4618719792 4641032448 4655740416 4782316032 4797471744 4818294104 4855791762 5003613108 5019470136 5027785152 5043718784 5197261056 5221161504 5237707968 5397155712 5420580867 5437759314 5474038272 5646903903 5656258296 5674183632 5846918688 5930208128 6101132544 6147032268 6158293056 6188043264 6204622807 6383456586 6426044928 6474389016 6671484144 6692626848 6703713536 6929681408 6961548672 6983610624 7013921434 7173474048 7196207616 7227441156 7250345752 7283687643 7505419662 7529205204 7541677728 7565578176 7795891584 7856561952 8134843392 8156638971 8196043024 8211057408 8484387444 8511275448 8632518688 8770378032 8895312192 8923502464 9220548402 9237439584 9282064896 9311480832 9564632064 9636588208 9711583524 10007226216 10038940272 10055570304 10087437568 10394522112 10442323008 10475415936 10520882151 10794311424 10841161734 10875518628 10948076544 11293807806 11312516592 11348367264 11693837376 11781811847 11860416256 12202265088 12294064536 12316586112 12409245614 12766913172 12852089856 12948778032 13342968288 13385253696 13407427072 13830822603 13923097344 13967221248 14027842868 14346948096 14392415232 14454882312 14500691504 14567375286 15010839324 15058410408 15083355456 15131156352 15591783168 15713123904 16261742601 16313277942 16392086048 16422114816 16968774888 17022550896 17265037376 17540756064 17790624384 17847004928 18441096804 18474879168 18564129792 18613868421 19273176416 19423167048 20014452432 20077880544 20111140608 20174875136 20789044224 20884646016 20950831872 21041764302 21588622848 21682323468 21751037256 21851062929 22587615612 22625033184 22696734528 23387674752 23563623694 23720832512 24404530176 24469916913 24588129072 24633172224 24818491228 25533826344 25897556064 26685936576 26770507392 26814854144 27661645206 27846194688 27934442496 28055685736 28693896192 28909764624 29001383008 29134750572 30021678648 30116820816 30166710912 30262312704 31183566336 31426247808 31562646453 32523485202 32626555884 32784172096 32844229632 33937549776 34045101792 34530074752 35081512128 35345435541 35581248768 35694009856 36882193608 36949758336 37227736842 38546352832 38846334096 40028904864 40155761088 40222281216 40349750272 41492467809 41769292032 41901663744 42083528604 43177245696 43364646936 43502074512 43702125858 45175231224 45250066368 45393469056 45590489321 46775349504 47127247388 47441665024 48785227803 48939833826 49176258144 49266344448 49636982456 51067652688 51795112128 53371873152 53541014784 55323290412 55692389376 55841605263 56111371472 57819529248 58002766016 58269501144 60043357296 60233641632 60333421824 60524625408 62367132672 62852495616 63125292906 65046970404 65253111768 65568344192 67875099552 68090203584 69060149504 70163024256 70690871082 71162497536 71388019712 73409750739 73764387216 73899516672 74455473684 77092705664 77692668192 80057809728 80311522176 80444562432 80660096491 82984935618 83538584064 83803327488 84167057208 86729293872 87004149024 87404251716 90350462448 90500132736 90786938112 91180978642 93550699008 94254494776 94687939359 97570455606 97879667652 98352516288 98532688896 99273964912 102135305376 103590224256 106036306623 106743746304 107082029568 110646580824 111683210526 112222742944 115639058496 116005532032 116539002288 120086714592 120467283264 120666843648 121049250816 125704991232 126250585812 130093940808 130506223536 131136688384 135750199104 136180407168 136771467963 138120299008 140326048512 141381742164 142324995072 146819501478 147528774432 147799033344 148910947368 154185411328 155385336384 160115619456 160623044352 161320192982 165969871236 167077168128 167524815789 168334114416 173458587744 174008298048 174808503432 180700924896 181000265472 181573876224 182361957284 187101398016 188508989552 189375878718 195140911212 195759335304 196705032576 198547929824 204270610752 207180448512 212072613246 213487492608 214164059136 221293161648 223366421052 224445485888 231278116992 232011064064 233078004576 240173429184 240934566528 241333687296 241980289473 251409982464 252501171624 260187881616 261012447072 262273376768 271500398208 272360814336 273542935926 276240598016 280652097024 282763484328 284063818077 293639002956 295057548864 295598066688 297821894736 308370822656 310770672768 318108919869 320231238912 321246088704 322640385964 331939742472 335049631578 336668228832 346917175488 348016596096 349617006864 361401849792 362000530944 363147752448 364723914568 377017979104 378751757436 390281822424 391518670608 393410065152 397095859648 408541221504 410314403889 414360897024 424145226492 426974985216 442586323296 446732842104 448890971776 462556233984 464022128128 466156009152 480346858368 481869133056 483960578946 502574447367 505002343248 520375763232 522024894144 524546753536 543000796416 544721628672 547085871852 561304194048 565526968656 568127636154 587278005912 590115097728 595643789472 616741645312 621541345536 636217839738 640462477824 642492177408 645280771928 663879484944 670099263156 673336457664 693834350976 696033192192 699234013728 722803699584 724001061888 725940868419 729447829136 754035958208 757503514872 780563644848 783037341216 786820130304 794191719296 817082443008 820628807778 828721794048 848290452984 885172646592 893465684208 897781943552 925112467968 928044256256 932312018304 954326759607 960693716736 963738266112 967921157892 1005148894734 1010004686496 1040751526464 1044049788288 1048581254383 1086001592832 1089443257344 1094171743704 1131053937312 1136255272308 1174556011824 1180230195456 1191287578944 1230943211667 1243082691072 1272435679476 1280924955648 1290561543856 1327758969888 1340198526312 1346672915328 1387668701952 1392066384384 1398468027456 1445607399168 1451881736838 1458895658272 1508071916416 1515007029744 1561127289696 1566074682432 1573640260608 1588383438592 1634164886016 1641257615556 1696580905968 1770345293184 1786931368416 1795563887104 1850224935936 1864624036608 1908653519214 1921387433472 1927476532224 1935842315784 2010297789468 2020009372992 2081503052928 2088099576576 2097162508766 2172003185664 2177822605257 2188343487408 2262107874624 2272510544616 2349112023648 2360460390912 2382575157888 2461886423334 2486165382144 2544871358952 2581123087712 2655517939776 2680397052624 2693345830656 2775337403904 2784132768768 2796936054912 2891214798336 2903763473676 2917791316544 3016143832832 3030014059488 3122254579392 3132149364864 3145743763149 3176766877184 3268329772032 3282515231112 3393161811936 3540690586368 3573862736832 3591127774208 3692829635001 3729248073216 3817307038428 3842774866944 3871684631568 4020595578936 4040018745984 4163006105856 4176199153152 4194325017532 4355645210514 4376686974816 4524215749248 4545021089232 4698224047296 4720920781824 4765150315776 4923772846668 5089742717904 5162246175424 5311035879552 5360794105248 5386691661312 5550674807808 5593872109824 5782429596672 5807526947352 5835582633088 6032287665664 6060028118976 6244509158784 6264298729728 6291487526298 6353533754368 6533467815771 6565030462224 6786323623872 7081381172736 7147725473664 7385659270002 7458496146432 7634614076856 7743369263136 8041191157872 8080037491968 8326012211712 8352398306304 8388650035064 8711290421028 8753373949632 9048431498496 9090042178464 9396448094592 9437231289447 9530300631552 9847545693336 10179485435808 10324492350848 10622071759104 10721588210496 10773383322624 11187744219648 11615053894704 11671165266176 12064575331328 12120056237952 12489018317568 12528597459456 12582975052596 13066935631542 13130060924448 13572647247744 14162762345472 14295450947328 14771318540004 15269228153712 15486738526272 16082382315744 16160074983936 16652024423424 16777300070128 17422580842056 17506747899264 18096862996992 18180084356928 18792896189184 18874462578894 19060601263104 19695091386672 20358970871616 20648984701696 21244143518208 21443176420992 22375488439296 23230107789408 23342330532352 24240112475904 24978036635136 25057194918912 25165950105192 26133871263084 26260121848896 27145294495488 28311693868341 28590901894656 29542637080008 30538456307424 30973477052544 32164764631488 32320149967872 33554600140256 34845161684112 35013495798528 36193725993984 36360168713856 37585792378368 37748925157788 39390182773344 40717941743232 41297969403392 42488287036416 42886352841984 46460215578816 46684661064704 48480224951808 49956073270272 50331900210384 52267742526168 52520243697792 54290588990976 56623387736682 57181803789312 59085274160016 61076912614848 61946954105088 64329529262976 67109200280512 69690323368224 70026991597056 72720337427712 75171584756736 75497850315576 78780365546688 81435883486464 82595938806784 84935081605023 85772705683968 92920431157632 96960449903616 100663800420768 104535485052336 105040487395584 108581177981952 113246775473364 118170548320032 122153825229696 123893908210176 128659058525952 134218400561024 139380646736448 140053983194112 145440674855424 150995700631152 157560731093376 162871766972928 169870163210046 171545411367936 185840862315264 201327600841536 209070970104672 210080974791168 226493550946728 236341096640064 244307650459392 247787816420352 257318117051904 268436801122048 278761293472896 290881349710848 301991401262304 315121462186752 325743533945856 339740326420092 371681724630528 402655201683072 418141940209344 420161949582336 452987101893456 472682193280128 488615300918784 514636234103808 536873602244096 557522586945792 603982802524608 630242924373504 679480652840184 743363449261056 805310403366144 836283880418688 905974203786912 945364386560256 977230601837568 1073747204488192 1115045173891584 1207965605049216 1260485848747008 1358961305680368 1610620806732288 1672567760837376 1811948407573824 1890728773120512 2230090347783168 2415931210098432 2717922611360736 3221241613464576 3345135521674752 3623896815147648 3781457546241024 4831862420196864 5435845222721472 6690271043349504 7247793630295296 9663724840393728 10871690445442944 14495587260590592 21743380890885888 28991174521181184 43486761781771776 86973523563543552
- Sum of all divisors σ(n): 296930711440907280
- Sum of proper divisors (its aliquot sum) s(n): 209957187877363728
- 86973523563543552 is an abundant number, because the sum of its proper divisors (209957187877363728) is greater than itself. Its abundance is 122983664313820176
Bases of 86973523563543552
- Binary: 1001101001111110111110101011110001101111001111100000000002
- Hexadecimal: 0x134FDF578DE7C00
- Base-36: NSDJH4ZWG00
Squares and roots of 86973523563543552
- 86973523563543552 squared (869735235635435522) is 7564393801058265480328727000776704
- 86973523563543552 cubed (869735235635435523) is 657901982500263828468632873106210624864202531012608
-
The
square root of 86973523563543552 is 294912738.8966837289 -
The
cube root of 86973523563543552 is 443059.8080491161
Scales and comparisons
How big is 86973523563543552?- 86,973,523,563,543,552 seconds is equal to 2,765,489,022 years, 28 weeks, 3 days, 16 hours, 19 minutes, 12 seconds.
-
To count from 1 to 86,973,523,563,543,552 would take you about eight billion, two hundred ninety-six million, four hundred sixty-seven thousand and sixty-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 86973523563543552 cubic inches would be around 36921.7 feet tall.
Recreational maths with 86973523563543552
- 86973523563543552 backwards is 25534536532537968
- 86973523563543552 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 86973523563543552's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 86973523563543552 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 86973523563543552 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/86973523563543552/
Chicago style:
Numbermatics. 2024. "Number 86973523563543552 - Facts about the integer". https://numbermatics.com/n/86973523563543552/
The information we have on file for 86973523563543552 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 86973523563543552, math, Factors of 86973523563543552, curriculum, school, college, exams, university, Prime factorization of 86973523563543552, STEM, science, technology, engineering, physics, economics, calculator, eighty-six quadrillion, nine hundred seventy-three trillion, five hundred twenty-three billion, five hundred sixty-three million, five hundred forty-three thousand, five hundred fifty-two.