27788501847177792
27,788,501,847,177,792 is an even composite number composed of seven prime numbers multiplied together.
What does the number 27788501847177792 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
27788501847177792 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 27788501847177792:
26 × 35 × 7 × 312 × 61 × 431 × 10103
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 31 × 31 × 61 × 431 × 10103)See below for interesting mathematical facts about the number 27788501847177792 from the Numbermatics database.
Names of 27788501847177792
- Cardinal: 27788501847177792 can be written as Twenty-seven quadrillion, seven hundred eighty-eight trillion, five hundred one billion, eight hundred forty-seven million, one hundred seventy-seven thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 2.7788501847177792 × 1016
Factors of 27788501847177792
Divisors of 27788501847177792
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 54 56 61 62 63 64 72 81 84 93 96 108 112 122 124 126 144 162 168 183 186 189 192 216 217 224 243 244 248 252 279 288 324 336 366 372 378 427 431 432 434 448 486 488 496 504 549 558 567 576 648 651 672 732 744 756 837 854 862 864 868 961 972 976 992 1008 1098 1116 1134 1281 1293 1296 1302 1344 1464 1488 1512 1647 1674 1701 1708 1724 1728 1736 1891 1922 1944 1952 1953 1984 2016 2196 2232 2268 2511 2562 2586 2592 2604 2883 2928 2976 3017 3024 3294 3348 3402 3416 3448 3472 3782 3843 3844 3879 3888 3904 3906 4032 4392 4464 4536 4941 5022 5124 5172 5184 5208 5673 5766 5856 5859 5952 6034 6048 6588 6696 6727 6804 6832 6896 6944 7533 7564 7686 7688 7758 7776 7812 8649 8784 8928 9051 9072 9882 10044 10103 10248 10344 10416 11346 11529 11532 11637 11712 11718 12068 12096 13176 13237 13361 13392 13454 13608 13664 13792 13888 14823 15066 15128 15372 15376 15516 15552 15624 17019 17298 17568 17577 17856 18102 18144 19764 20088 20181 20206 20496 20688 20832 22692 23058 23064 23274 23436 24136 25947 26291 26352 26474 26722 26784 26908 27153 27216 27328 27584 29646 30132 30256 30309 30744 30752 31032 31248 34038 34587 34596 34911 35136 35154 36204 36288 39528 39711 40083 40176 40362 40412 40992 41376 41664 45384 46116 46128 46548 46872 48272 51057 51894 52582 52704 52731 52948 53444 53568 53816 54306 54432 58621 59292 60264 60512 60543 60618 61488 61504 62064 62496 68076 69174 69192 69822 70308 70721 72408 77841 78873 79056 79422 80166 80352 80724 80824 81459 81984 82752 90768 90927 92232 92256 93096 93527 93744 96544 102114 103761 103788 104733 105164 105408 105462 105896 106888 107632 108612 108864 117242 118584 119133 120249 120528 121024 121086 121236 122976 124128 124992 136152 138348 138384 139644 140616 141442 144816 153171 155682 157746 158112 158844 160332 160704 161448 161648 162918 175863 181536 181629 181854 184037 184464 184512 186192 187054 187488 193088 204228 207522 207576 209466 210328 210924 211792 212163 213776 215264 217224 233523 234484 236619 237168 238266 240498 241056 242172 242472 244377 245952 248256 272304 272781 276696 276768 279288 280581 281232 282884 289632 306342 311364 313193 315492 316224 317688 320664 322896 323296 325836 351726 357399 360747 363072 363258 363708 368074 368928 372384 374108 374976 408456 410347 414191 415044 415152 418932 420656 421848 423584 424326 427552 430528 434448 459513 467046 468968 473238 474336 476532 480996 482112 484344 484944 488754 527589 544608 544887 545562 552111 553392 553536 558576 561162 562464 565768 579264 612684 616283 622728 626386 630984 635376 636489 641328 645792 646592 651672 703452 709857 714798 721494 726516 727416 733131 736148 737856 744768 748216 815021 816912 818343 820694 828382 830088 830304 837864 841312 841743 843696 847168 848652 855104 868896 919026 934092 937936 939579 946476 948672 953064 961992 968688 969888 977508 1055178 1072197 1082241 1089216 1089774 1091124 1104222 1106784 1117152 1122324 1124928 1131536 1225368 1231041 1232566 1242573 1245456 1252772 1261968 1270752 1272978 1282656 1291584 1303344 1406904 1419714 1429596 1442988 1453032 1454832 1466262 1472296 1496432 1582767 1630042 1633824 1634661 1636686 1641388 1656333 1656764 1660176 1660608 1675728 1682624 1683486 1687392 1697304 1737792 1838052 1848849 1868184 1875872 1879158 1892952 1906128 1909467 1923984 1937376 1939776 1955016 2110356 2129571 2144394 2164482 2179548 2182248 2192351 2208444 2213568 2234304 2244648 2263072 2445063 2450736 2455029 2462082 2465132 2485146 2490912 2505544 2523936 2525229 2541504 2545956 2565312 2606688 2813808 2818737 2839428 2859192 2885976 2899337 2906064 2909664 2932524 2944592 2992864 3165534 3216591 3246723 3260084 3267648 3269322 3273372 3282776 3312666 3313528 3320352 3351456 3366972 3374784 3394608 3676104 3693123 3697698 3727719 3736368 3751744 3758316 3785904 3812256 3818934 3847968 3874752 3910032 4220712 4259142 4288788 4313981 4328964 4354393 4359096 4364496 4384702 4416888 4489296 4526144 4748301 4890126 4901472 4910058 4924164 4930264 4968999 4970292 4981824 5011088 5047872 5050458 5091912 5213376 5546547 5627616 5637474 5678856 5705147 5718384 5728401 5771952 5798674 5812128 5819328 5865048 5889184 5985728 6331068 6388713 6433182 6493446 6520168 6538644 6546744 6565552 6577053 6625332 6627056 6640704 6702912 6733944 6789216 7335189 7352208 7386246 7395396 7455438 7472736 7516632 7571808 7575687 7624512 7637868 7695936 7820064 8441424 8456211 8518284 8577576 8627962 8657928 8698011 8708786 8718192 8728992 8769404 8833776 8978592 9496602 9708983 9780252 9802944 9820116 9848328 9860528 9937998 9940584 10022176 10100916 10183824 11079369 11093094 11183157 11255232 11274948 11357712 11410294 11436768 11456802 11543904 11597348 11624256 11730096 11778368 12662136 12777426 12866364 12941943 12986892 13040336 13063179 13077288 13093488 13131104 13154106 13250664 13254112 13467888 13578432 14244903 14670378 14704416 14772492 14790792 14906997 14910876 14945472 15033264 15143616 15151374 15275736 15640128 16639641 16882848 16912422 17036568 17115441 17155152 17185203 17255924 17315856 17396022 17417572 17436384 17457984 17538808 17667552 17957184 18993204 19104773 19417966 19560504 19640232 19696656 19721056 19731159 19875996 19881168 20044352 20201832 20367648 22005567 22158738 22186188 22366314 22549896 22715424 22727061 22820588 22873536 22913604 23087808 23194696 23460192 25265651 25324272 25368633 25554852 25732728 25883886 25973784 26080672 26094033 26126358 26154576 26186976 26262208 26308212 26501328 26508224 26935776 28489806 29126949 29340756 29408832 29544984 29581584 29813994 29821752 30066528 30302748 30480751 30551472 33238107 33279282 33549471 33765696 33824844 34073136 34230882 34310304 34370406 34511848 34631712 34792044 34835144 34872768 35077616 35335104 37986408 38209546 38825829 38835932 39121008 39189537 39280464 39393312 39442112 39462318 39751992 39762336 40403664 40735296 44011134 44317476 44372376 44720991 44732628 45099792 45430848 45454122 45641176 45827208 46389392 46920384 49918923 50531302 50648544 50737266 51109704 51346323 51465456 51767772 51947568 52161344 52188066 52252716 52309152 52373952 52616424 53002656 53871552 56979612 57314319 58253898 58681512 59089968 59163168 59193477 59627988 59643504 60133056 60605496 60961502 61102944 66016701 66476214 66558564 67098942 67649688 67962881 68146272 68461764 68620608 68740812 69023696 69263424 69584088 69670288 70155232 75796953 75972816 76105899 76419092 77651658 77671864 78242016 78282099 78379074 78560928 78786624 78924636 79503984 79524672 80807328 87380847 88022268 88634952 88744752 89441982 89465256 90199584 90908244 91282352 91442253 91654416 92778784 99714321 99837846 100648413 101062604 101297088 101474532 102219408 102692646 102930912 103535544 103895136 104376132 104505432 104618304 105232848 106005312 113959224 114628638 116477487 116507796 117363024 117568611 118179936 118326336 118386954 119255976 119287008 121210992 121923004 122205888 132033402 132952428 133117128 133733411 134197884 134986183 135299376 135925762 136292544 136923528 137481624 138047392 139168176 139340576 140310464 149756769 151593906 151945632 152211798 152838184 154038969 155303316 155343728 156484032 156564198 156758148 157121856 157849272 159007968 161614656 171942957 174761694 176044536 176859557 177269904 177489504 177580431 178883964 178930512 180399168 181816488 182564704 182884506 183308832 185557568 198050103 199428642 199675692 201296826 202125208 202949064 203888643 204438816 205385292 205861824 207071088 207790272 208752264 209010864 210465696 227390859 227918448 229257276 232954974 233015592 234726048 234846297 235137222 236359872 236773908 238511952 238574016 242421984 243846008 262142541 264066804 265617973 265904856 266234256 267466822 268395768 269972366 270598752 271851524 273847056 274326759 274963248 276094784 278336352 278681152 299513538 303187812 303891264 304423596 305676368 308077938 310606632 310687456 313128396 313516296 315698544 318015936 343885914 349432461 349523388 352089072 352705833 353719114 354539808 354979008 355160862 357767928 357861024 363632976 365129408 365769012 366617664 396100206 398857284 399351384 401200233 402593652 404250416 404958549 405898128 407777286 408877632 410770584 414142176 417504528 418021728 420931392 454781718 455836896 458514552 462116907 465909948 466031184 469452096 469692594 470274444 473547816 477023904 484843968 487692016 515828871 524285082 528133608 530578671 531235946 531809712 532468512 532741293 534933644 536791536 539944732 541197504 543703048 547694112 548653518 549926496 556672704 592247963 599027076 606375624 608847192 611352736 611665929 616155876 621213264 621374912 626256792 627032592 631397088 682172577 687771828 698864922 699046776 704178144 704538891 705411666 707438228 709079616 710321724 715535856 715722048 727265952 731538024 786427623 792200412 796853919 797714568 798702768 802400466 805187304 808500832 809917098 811796256 815554572 821541168 822980277 828284352 835009056 836043456 909563436 911673792 917029104 924233814 931819896 932062368 939385188 940548888 944903281 947095632 954047808 975384032 1031657742 1048297383 1048570164 1056267216 1058117499 1061157342 1062471892 1063619424 1064937024 1065482586 1069867288 1073583072 1079889464 1087406096 1095388224 1097307036 1099852992 1184495926 1198054152 1203600699 1212751248 1214875647 1217694384 1222705472 1223331858 1232311752 1242426528 1252513584 1254065184 1262794176 1364345154 1375543656 1386350721 1397729844 1398093552 1408356288 1409077782 1410823332 1414876456 1420643448 1431071712 1454531904 1463076048 1547486613 1572855246 1584400824 1591736013 1593707838 1595429136 1597405536 1604800932 1610374608 1617001664 1619834196 1623592512 1631109144 1643082336 1645960554 1670018112 1776743889 1819126872 1834058208 1834997787 1848467628 1859325811 1863639792 1864124736 1878770376 1881097776 1889806562 1894191264 1950768064 2046517731 2063315484 2096594766 2097140328 2112534432 2116234998 2122314684 2124943784 2127238848 2130965172 2139734576 2147166144 2159778928 2174812192 2194614072 2359282869 2368991852 2390561757 2396108304 2407201398 2425502496 2429751294 2435388768 2446663716 2464623504 2468940831 2484853056 2505027168 2508130368 2728690308 2751087312 2772701442 2795459688 2796187104 2818155564 2821646664 2829752912 2834709843 2841286896 2862143424 2926152096 3094973226 3145710492 3168801648 3183472026 3187415676 3190858272 3194811072 3209601864 3220749216 3239668392 3262218288 3286164672 3291921108 3553487778 3610802097 3638253744 3644626941 3668116416 3669995574 3696935256 3718651622 3727279584 3757540752 3762195552 3779613124 3788382528 4093035462 4126630968 4145735741 4184571673 4193189532 4194280656 4225068864 4232469996 4244629368 4249887568 4261930344 4279469152 4319557856 4349624384 4389228144 4642459839 4718565738 4737983704 4775208039 4781123514 4792216608 4814402796 4851004992 4859502588 4870777536 4893327432 4929247008 4937881662 5010054336 5330231667 5457380616 5502174624 5504993361 5545402884 5577977433 5590919376 5592374208 5636311128 5643293328 5659505824 5669419686 5682573792 5852304192 6139553193 6189946452 6291420984 6337603296 6366944052 6374831352 6381716544 6419203728 6441498432 6479336784 6524436576 6583842216 7106975556 7171685271 7221604194 7276507488 7289253882 7339991148 7393870512 7406822493 7437303244 7454559168 7515081504 7524391104 7559226248 8186070924 8234157163 8253261936 8291471482 8369143346 8386379064 8388561312 8464939992 8489258736 8499775136 8504129529 8523860688 8558938304 8639115712 8778456288 9284919678 9437131476 9475967408 9550416078 9562247028 9584433216 9628805592 9719005176 9786654864 9858494016 9875763324 10660463334 10832406291 10914761232 10933880823 11004349248 11009986722 11090805768 11155954866 11181838752 11272622256 11286586656 11319011648 11338839372 11365147584 12279106386 12379892904 12437207223 12553715019 12582841968 12675206592 12733888104 12749662704 12838407456 12958673568 13048873152 13167684432 14213951112 14325624117 14343370542 14443208388 14553014976 14578507764 14679982296 14787741024 14813644986 14874606488 15030163008 15118452496 15990695001 16372141848 16468314326 16506523872 16514980083 16582942964 16733932299 16738286692 16772758128 16777122624 16929879984 16978517472 16999550272 17008259058 17047721376 17556912576 18569839356 18874262952 18951934816 19100832156 19124494056 19257611184 19438010352 19573309728 19751526648 21320926668 21515055813 21664812582 21829522464 21867761646 22019973444 22181611536 22311909732 22363677504 22545244512 22573173312 22677678744 24558212772 24702471489 24759785808 24874414446 25107430038 25165683936 25467776208 25499325408 25512388587 25676814912 25917347136 26335368864 28427902224 28651248234 28686741084 28886416776 29157015528 29292001711 29359964592 29575482048 29627289972 29749212976 30236904992 31981390002 32497218873 32744283696 32801642469 32936628652 33013047744 33029960166 33165885928 33467864598 33476573384 33545516256 33859759968 33957034944 34016518116 34095442752 37139678712 37311621669 37661145057 37748525904 37903869632 38201664312 38248988112 38515222368 38876020704 39146619456 39503053296 42641853336 42976872351 43030111626 43329625164 43659044928 43735523292 44039946888 44363223072 44623819464 45090489024 45355357488 47972085003 49116425544 49404942978 49519571616 49748828892 50201796897 50214860076 50331367872 50935552416 50998650816 51024777174 52670737728 56855804448 57302496468 57373482168 57639100141 57772833552 58314031056 58584003422 58719929184 59254579944 59498425952 60473809984 63962780004 64545167439 64994437746 65488567392 65603284938 65873257304 66059920332 66331771856 66935729196 66953146768 67091032512 67719519936 68033036232 74107414467 74279357424 74623243338 75322290114 75497051808 76403328624 76497976224 76537165761 77030444736 77752041408 79006106592 85283706672 85953744702 86060223252 86659250328 87471046584 87876005133 88079893776 88726446144 89247638928 90710714976 95944170006 98232851088 98809885956 99039143232 99497657784 100403593794 100429720152 101871104832 102049554348 111934865007 112983435171 113711608896 114604992936 114746964336 115278200282 115545667104 116628062112 117168006844 117439858368 118509159888 118996851904 127925560008 129090334878 129988875492 130977134784 131206569876 131746514608 132119840664 132663543712 133871458392 133906293536 136066072464 143916255009 148214828934 148558714848 149246486676 150605390691 150644580228 150994103616 152806657248 152995952448 153074331522 158012213184 170567413344 171907489404 172120446504 172917300423 173318500656 174942093168 175752010266 176159787552 178495277856 181421429952 191888340012 196465702176 197619771912 198995315568 200807187588 200859440304 204099108696 222322243401 223869730014 225966870342 229209985872 229493928672 229611497283 230556400564 231091334208 233256124224 234336013688 237018319776 255258872053 255851120016 258180669756 259977750984 262413139752 263493029216 263628015399 264239681328 265327087424 267742916784 267812587072 272132144928 287832510018 296429657868 297117429696 298492973352 301210781382 301289160456 305613314496 306148663044 335804595021 338950305513 341134826688 343814978808 344240893008 345834600846 346637001312 349884186336 351504020532 352319575104 356990555712 383776680024 392931404352 395239543824 397990631136 401614375176 401718880608 408198217392 444644486802 447739460028 451816172073 451933740684 458419971744 458987857344 459222994566 461112801128 468672027376 474036639552 510517744106 511702240032 516361339512 518751901269 519955501968 524826279504 526986058432 527256030798 528479362656 535485833568 544264289856 575665020036 592859315736 596985946704 602421562764 602578320912 612297326088 666966730203 671609190042 677900611026 687629957616 688481786016 691669201692 693274002624 699768372672 703008041064 765776616159 767553360048 790479087648 790884046197 795981262272 803228750352 803437761216 816396434784 889288973604 895478920056 903632344146 903867481368 916839943488 918445989132 922225602256 937344054752 1007413785063 1016850916539 1021035488212 1023404480064 1032722679024 1037503802538 1039911003936 1049652559008 1054512061596 1056958725312 1070971667136 1151330040072 1185718631472 1193971893408 1204843125528 1205156641824 1224594652176 1333933460406 1343218380084 1355801222052 1375259915232 1376963572032 1383338403384 1406016082128 1531553232318 1535106720096 1556255703807 1580958175296 1581768092394 1606457500704 1632792869568 1778577947208 1786812104371 1790957840112 1807264688292 1807734962736 1836891978264 1844451204512 1874688109504 2000900190609 2014827570126 2033701833078 2042070976424 2065445358048 2075007605076 2079822007872 2099305118016 2109024123192 2297329848477 2302660080144 2371437262944 2372652138591 2387943786816 2409686251056 2410313283648 2449189304352 2667866920812 2686436760168 2711602444104 2750519830464 2766676806768 2812032164256 3063106464636 3070213440192 3112511407614 3163536184788 3212915001408 3557155894416 3573624208742 3581915680224 3614529376584 3615469925472 3673783956528 3688902409024 4001800381218 4029655140252 4067403666156 4084141952848 4130890716096 4150015210152 4218048246384 4594659696954 4605320160288 4668767111421 4742874525888 4745304277182 4819372502112 4898378608704 5335733841624 5360436313113 5372873520336 5423204888208 5533353613536 5624064328512 6126212929272 6225022815228 6327072369576 6891989545431 7114311788832 7117956415773 7147248417484 7163831360448 7229058753168 7230939850944 7347567913056 8003600762436 8059310280504 8134807332312 8168283905696 8300030420304 8436096492768 9189319393908 9210640320576 9337534222842 9490608554364 9638745004224 10671467683248 10720872626226 10745747040672 10846409776416 11066707227072 12252425858544 12450045630456 12654144739152 13783979090862 14006301334263 14228623577664 14235912831546 14294496834968 14458117506336 14695135826112 16007201524872 16081308939339 16118620561008 16269614664624 16336567811392 16600060840608 16872192985536 18378638787816 18675068445684 18981217108728 20675968636293 21342935366496 21441745252452 21491494081344 21692819552832 24504851717088 24900091260912 25308289478304 27567958181724 28012602668526 28471825663092 28588993669936 28916235012672 32014403049744 32162617878678 32237241122016 32539229329248 33200121681216 36757277575632 37350136891368 37962434217456 41351937272586 42685870732992 42883490504904 48243926818017 49009703434176 49800182521824 50616578956608 55135916363448 56025205337052 56943651326184 57177987339872 62027905908879 64028806099488 64325235757356 64474482244032 65078458658496 73514555151264 74700273782736 75924868434912 82703874545172 85766981009808 96487853636034 99600365043648 110271832726896 112050410674104 113887302652368 114355974679744 124055811817758 128057612198976 128650471514712 144731780454051 147029110302528 149400547565472 151849736869824 165407749090344 171533962019616 192975707272068 220543665453792 224100821348208 227774605304736 248111623635516 257300943029424 289463560908102 298801095130944 330815498180688 343067924039232 385951414544136 434195341362153 441087330907584 448201642696416 455549210609472 496223247271032 514601886058848 578927121816204 661630996361376 771902829088272 868390682724306 896403285392832 992446494542064 1029203772117696 1157854243632408 1323261992722752 1543805658176544 1736781365448612 1984892989084128 2315708487264816 3087611316353088 3473562730897224 3969785978168256 4631416974529632 6947125461794448 9262833949059264 13894250923588896 27788501847177792
- Sum of all divisors σ(n): 99383231498084352
- Sum of proper divisors (its aliquot sum) s(n): 71594729650906560
- 27788501847177792 is an abundant number, because the sum of its proper divisors (71594729650906560) is greater than itself. Its abundance is 43806227803728768
Bases of 27788501847177792
- Binary: 11000101011100101111110110001010111000011111010010000002
- Hexadecimal: 0x62B97EC570FA40
- Base-36: 7LM79IHYC00
Squares and roots of 27788501847177792
- 27788501847177792 squared (277885018471777922) is 772200834910603558049795257995264
- 27788501847177792 cubed (277885018471777923) is 21458304327305540183591933272566024379762101977088
-
The
square root of 27788501847177792 is 166698835.7703130211 -
The
cube root of 27788501847177792 is 302892.4009789569
Scales and comparisons
How big is 27788501847177792?- 27,788,501,847,177,792 seconds is equal to 883,588,403 years, 13 weeks, 3 days, 18 hours, 43 minutes, 12 seconds.
-
To count from 1 to 27,788,501,847,177,792 would take you about two billion, six hundred fifty million, seven hundred sixty-five thousand, two hundred nine 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 27788501847177792 cubic inches would be around 25241 feet tall.
Recreational maths with 27788501847177792
- 27788501847177792 backwards is 29777174810588772
- The number of decimal digits it has is: 17
- The sum of 27788501847177792's digits is 90
- 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 27788501847177792 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 27788501847177792 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/27788501847177792/
Chicago style:
Numbermatics. 2024. "Number 27788501847177792 - Facts about the integer". https://numbermatics.com/n/27788501847177792/
The information we have on file for 27788501847177792 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 27788501847177792, math, Factors of 27788501847177792, curriculum, school, college, exams, university, Prime factorization of 27788501847177792, STEM, science, technology, engineering, physics, economics, calculator, twenty-seven quadrillion, seven hundred eighty-eight trillion, five hundred one billion, eight hundred forty-seven million, one hundred seventy-seven thousand, seven hundred ninety-two.