2746582301698560
2,746,582,301,698,560 is an even composite number composed of five prime numbers multiplied together.
What does the number 2746582301698560 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2100 divisors.
2746582301698560 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred divisors.
Prime factorization of 2746582301698560:
29 × 36 × 5 × 134 × 2272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 13 × 227 × 227)See below for interesting mathematical facts about the number 2746582301698560 from the Numbermatics database.
Names of 2746582301698560
- Cardinal: 2746582301698560 can be written as Two quadrillion, seven hundred forty-six trillion, five hundred eighty-two billion, three hundred one million, six hundred ninety-eight thousand, five hundred sixty.
Scientific notation
- Scientific notation: 2.74658230169856 × 1015
Factors of 2746582301698560
Divisors of 2746582301698560
- Number of divisors d(n): 2100
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 81 90 96 104 108 117 120 128 130 135 144 156 160 162 169 180 192 195 208 216 227 234 240 243 256 260 270 288 312 320 324 338 351 360 384 390 405 416 432 454 468 480 486 507 512 520 540 576 585 624 640 648 676 681 702 720 729 768 780 810 832 845 864 908 936 960 972 1014 1040 1053 1080 1135 1152 1170 1215 1248 1280 1296 1352 1362 1404 1440 1458 1521 1536 1560 1620 1664 1690 1728 1755 1816 1872 1920 1944 2028 2043 2080 2106 2160 2197 2270 2304 2340 2430 2496 2535 2560 2592 2704 2724 2808 2880 2916 2951 3042 3120 3159 3240 3328 3380 3405 3456 3510 3632 3645 3744 3840 3888 4056 4086 4160 4212 4320 4394 4540 4563 4608 4680 4860 4992 5070 5184 5265 5408 5448 5616 5760 5832 5902 6084 6129 6240 6318 6480 6591 6656 6760 6810 6912 7020 7264 7290 7488 7605 7680 7776 8112 8172 8320 8424 8640 8788 8853 9080 9126 9360 9477 9720 9984 10140 10215 10368 10530 10816 10896 10985 11232 11520 11664 11804 12168 12258 12480 12636 12960 13182 13520 13620 13689 13824 14040 14528 14580 14755 14976 15210 15552 15795 16224 16344 16640 16848 17280 17576 17706 18160 18252 18387 18720 18954 19440 19773 19968 20280 20430 20736 21060 21632 21792 21970 22464 22815 23040 23328 23608 24336 24516 24960 25272 25920 26364 26559 27040 27240 27378 28080 28561 29056 29160 29510 29952 30420 30645 31104 31590 32448 32688 32955 33280 33696 34560 35152 35412 36320 36504 36774 37440 37908 38363 38880 39546 40560 40860 41067 41472 42120 43264 43584 43940 44265 44928 45630 46656 47216 47385 48672 49032 49920 50544 51529 51840 52728 53118 54080 54480 54756 55161 56160 57122 58112 58320 59020 59319 59904 60840 61290 62208 63180 64896 65376 65910 67392 68445 69120 70304 70824 72640 73008 73548 74880 75816 76726 77760 79092 79677 81120 81720 82134 84240 85683 86528 87168 87880 88530 89856 91260 91935 93312 94432 94770 97344 98064 98865 99840 101088 103058 103680 105456 106236 108160 108960 109512 110322 112320 114244 115089 116224 116640 118040 118638 121680 122580 123201 124416 126360 129792 130752 131820 132795 134784 136890 140608 141648 142805 145280 146016 147096 149760 151632 153452 154587 155520 158184 159354 162240 163440 164268 165483 168480 171366 174336 175760 177060 177957 179712 182520 183870 186624 188864 189540 191815 194688 196128 197730 202176 205335 206116 207360 210912 212472 216320 217920 219024 220644 224640 228488 230178 233280 236080 237276 239031 243360 245160 246402 252720 257049 257645 259584 261504 263640 265590 269568 273780 275805 281216 283296 285610 290560 292032 294192 296595 299520 303264 306904 309174 311040 316368 318708 324480 326880 328536 330966 336960 342732 345267 348672 351520 354120 355914 365040 367740 373248 377728 379080 383630 389376 392256 395460 398385 404352 410670 412232 421824 424944 428415 432640 435840 438048 441288 449280 456976 460356 463761 466560 472160 474552 478062 486720 490320 492804 498719 505440 514098 515290 523008 527280 531180 533871 539136 547560 551610 562432 566592 571220 575445 581120 584064 588384 593190 606528 613808 616005 618348 622080 632736 637416 648960 653760 657072 661932 669877 673920 685464 690534 703040 708240 711828 717093 730080 735480 755456 758160 767260 771147 772935 778752 784512 790920 796770 808704 821340 824464 827415 843648 849888 856830 871680 876096 882576 889785 898560 913952 920712 927522 933120 944320 949104 956124 973440 980640 985608 997438 1010880 1028196 1030580 1035801 1046016 1054560 1062360 1067742 1095120 1103220 1124864 1133184 1142440 1150890 1168128 1176768 1186380 1195155 1213056 1227616 1232010 1236696 1265472 1274832 1285245 1297920 1307520 1314144 1323864 1339754 1347840 1370928 1381068 1391283 1406080 1416480 1423656 1434186 1460160 1470960 1496157 1510912 1516320 1534520 1542294 1545870 1569024 1581840 1593540 1601613 1617408 1642680 1648928 1654830 1687296 1699776 1713660 1726335 1743360 1752192 1765152 1779570 1827904 1841424 1855044 1866240 1888640 1898208 1912248 1946880 1961280 1971216 1994876 2009631 2021760 2056392 2061160 2071602 2109120 2124720 2135484 2151279 2190240 2206440 2266368 2284880 2301780 2313441 2318805 2336256 2353536 2372760 2390310 2426112 2455232 2464020 2473392 2493595 2530944 2549664 2570490 2615040 2628288 2647728 2669355 2679508 2695680 2741856 2762136 2782566 2812160 2832960 2847312 2868372 2920320 2941920 2992314 3032640 3069040 3084588 3091740 3107403 3138048 3163680 3187080 3203226 3285360 3297856 3309660 3349385 3374592 3399552 3427320 3452670 3504384 3530304 3559140 3585465 3655808 3682848 3710088 3777280 3796416 3824496 3855735 3893760 3922560 3942432 3989752 4019262 4043520 4112784 4122320 4143204 4173849 4218240 4249440 4270968 4302558 4380480 4412880 4488471 4532736 4569760 4603560 4626882 4637610 4707072 4745520 4780620 4852224 4910464 4928040 4946784 4987190 5061888 5099328 5140980 5179005 5230080 5256576 5295456 5338710 5359016 5483712 5524272 5565132 5624320 5665920 5694624 5736744 5840640 5883840 5984628 6028893 6065280 6138080 6169176 6183480 6214806 6327360 6374160 6406452 6483347 6570720 6595712 6619320 6698770 6799104 6854640 6905340 6940323 6956415 7008768 7060608 7118280 7170930 7311616 7365696 7420176 7480785 7554560 7592832 7648992 7711470 7845120 7884864 7979504 8008065 8038524 8087040 8225568 8244640 8286408 8347698 8436480 8498880 8541936 8605116 8708401 8760960 8825760 8976942 9139520 9207120 9253764 9275220 9322209 9414144 9491040 9561240 9820928 9856080 9893568 9974380 10048155 10123776 10198656 10281960 10358010 10513152 10590912 10677420 10718032 10756395 10967424 11048544 11130264 11331840 11389248 11473488 11567205 11681280 11767680 11969256 12057786 12130560 12276160 12338352 12366960 12429612 12521547 12654720 12748320 12812904 12966694 13141440 13191424 13238640 13397540 13465413 13598208 13709280 13810680 13880646 13912830 14121216 14236560 14341860 14623232 14731392 14840352 14961570 15185664 15297984 15422940 15537015 15690240 15769728 15959008 16016130 16077048 16451136 16489280 16572816 16695396 16872960 16997760 17083872 17210232 17416802 17521920 17651520 17953884 18086679 18279040 18414240 18507528 18550440 18644418 18982080 19122480 19450041 19641856 19712160 19787136 19948760 20096310 20397312 20563920 20716020 20820969 20869245 21026304 21181824 21354840 21436064 21512790 21934848 22097088 22260528 22442355 22663680 22778496 22946976 23134410 23535360 23938512 24115572 24261120 24552320 24676704 24733920 24859224 25043094 25309440 25496640 25625808 25933388 26125203 26282880 26382848 26477280 26795080 26930826 27418560 27621360 27761292 27825660 27966627 28242432 28473120 28683720 29462784 29680704 29923140 30144465 30371328 30595968 30845880 31074030 31539456 31918016 32032260 32154096 32416735 32902272 32978560 33145632 33390792 33995520 34167744 34420464 34701615 34833604 35043840 35303040 35907768 36173358 36558080 36828480 37015056 37100880 37288836 37564641 37964160 38244960 38900082 39424320 39574272 39897520 40192620 40396239 40794624 41127840 41432040 41641938 41738490 42363648 42709680 42872128 43025580 43542005 43869696 44194176 44521056 44884710 45556992 45893952 46268820 46611045 47070720 47877024 48231144 49104640 49353408 49467840 49718448 50086188 50618880 50993280 51251616 51866776 52250406 52565760 52954560 53590160 53861652 54260037 54837120 55242720 55522584 55651320 55933254 56946240 57367440 58350123 58925568 59361408 59846280 60288930 61191936 61691760 62148060 62607735 63078912 63836032 64064520 64308192 64833470 65804544 65957120 66291264 66781584 67327065 67991040 68335488 68840928 69403230 69667208 70606080 71815536 72346716 73116160 73656960 74030112 74201760 74577672 75129282 75928320 76489920 77800164 78375609 78848640 79148544 79795040 80385240 80792478 82255680 82864080 83283876 83476980 84727296 85419360 85744256 86051160 87084010 88388352 89042112 89769420 90433395 91113984 91787904 92537640 93222090 95754048 96462288 97250205 98209280 98706816 98935680 99436896 100172376 101986560 102503232 103733552 104104845 104500812 105131520 105909120 107180320 107723304 108520074 109674240 110485440 111045168 111302640 111866508 113209213 113892480 114734880 116700246 118722816 119692560 120577860 121188717 122383872 123383520 124296120 125215470 127672064 128129040 128616384 129666940 130626015 131609088 131914240 132582528 133563168 134654130 136670976 137681856 138806460 139334416 139833135 141212160 143631072 144693432 147313920 148060224 148403520 149155344 150258564 151856640 152979840 155600328 156751218 157697280 159590080 160770480 161584956 162780111 164511360 165728160 166567752 166953960 170838720 171488512 172102320 174168020 175050369 176776704 178084224 179538840 180866790 183575808 185075280 186444180 187823205 191508096 192924576 194500410 197413632 197871360 198873792 200344752 201981195 203973120 205006464 207467104 208209690 209001624 211818240 214360640 215446608 217040148 219348480 220970880 222090336 222605280 223733016 226418426 227784960 229469760 233400492 235126827 237445632 239385120 241155720 242377434 246767040 248592240 250430940 255344128 256258080 257232768 259333880 261252030 265165056 267126336 269308260 271300185 273341952 275363712 277612920 278668832 279666270 287262144 289386864 291750615 294627840 296120448 296807040 298310688 300517128 305959680 311200656 313502436 315394560 319180160 321540960 323169912 325560222 329022720 331456320 333135504 333907920 339627639 341677440 342977024 344204640 348336040 350100738 356168448 359077680 361733580 363566151 367151616 370150560 372888360 375646410 383016192 385849152 389000820 391878045 394827264 395742720 397747584 400689504 403962390 410012928 414934208 416419380 418003248 423636480 428721280 430893216 434080296 441941760 444180672 445210560 447466032 452836852 455569920 458939520 466800984 470253654 478770240 482311440 484754868 488340333 493534080 497184480 500861880 512516160 514465536 518667760 522504060 525151107 530330112 534252672 538616520 542600370 550727424 555225840 557337664 559332540 566046065 574524288 578773728 583501230 592240896 593614080 596621376 601034256 605943585 611919360 622401312 627004872 638360320 643081920 646339824 651120444 658045440 662912640 666271008 667815840 679255278 683354880 688409280 696672080 700201476 705380481 712336896 718155360 723467160 727132302 740301120 745776720 751292820 766032384 771698304 778001640 783756090 795495168 801379008 807924780 813900555 820025856 829868416 832838760 836006496 857442560 861786432 868160592 875251845 883883520 888361344 890421120 894932064 905673704 917879040 933601968 940507308 957540480 964622880 969509736 976680666 987068160 994368960 1001723760 1018882917 1025032320 1028931072 1037335520 1045008120 1050302214 1068505344 1077233040 1085200740 1101454848 1110451680 1114675328 1118665080 1132092130 1149048576 1157547456 1167002460 1175634135 1184481792 1187228160 1193242752 1202068512 1211887170 1244802624 1254009744 1276720640 1286163840 1292679648 1302240888 1325825280 1332542016 1335631680 1358510556 1366709760 1376818560 1393344160 1400402952 1410760962 1436310720 1446934320 1454264604 1471719769 1480602240 1491553440 1502585640 1543396608 1556003280 1567512180 1575453321 1590990336 1602758016 1615849560 1627801110 1659736832 1665677520 1672012992 1698138195 1714885120 1723572864 1736321184 1750503690 1776722688 1780842240 1789864128 1811347408 1817830755 1835758080 1867203936 1881014616 1915080960 1929245760 1939019472 1953361332 1974136320 1988737920 2003447520 2037765834 2050064640 2074671040 2090016240 2100604428 2116141443 2137010688 2154466080 2170401480 2220903360 2229350656 2237330160 2264184260 2298097152 2315094912 2334004920 2351268270 2386485504 2404137024 2423774340 2441701665 2489605248 2508019488 2572327680 2585359296 2604481776 2625755535 2651650560 2665084032 2671263360 2717021112 2753637120 2786688320 2800805904 2821521924 2872621440 2893868640 2908529208 2943439538 2961204480 2983106880 3005171280 3056648751 3086793216 3112006560 3135024360 3150906642 3205516032 3231699120 3255602220 3319473664 3331355040 3344025984 3396276390 3447145728 3472642368 3501007380 3526902405 3553445376 3561684480 3579728256 3622694816 3635661510 3734407872 3762029232 3830161920 3858491520 3878038944 3906722664 3977475840 4006895040 4075531668 4100129280 4149342080 4180032480 4201208856 4232282886 4308932160 4340802960 4415159307 4441806720 4458701312 4474660320 4528368520 4630189824 4668009840 4702536540 4726359963 4772971008 4808274048 4847548680 4883403330 4979210496 5016038976 5094414585 5144655360 5170718592 5208963552 5251511070 5330168064 5342526720 5434042224 5507274240 5573376640 5601611808 5643043848 5745242880 5787737280 5817058416 5886879076 5922408960 5966213760 6010342560 6113297502 6224013120 6270048720 6301813284 6348424329 6411032064 6463398240 6511204440 6662710080 6688051968 6792552780 6894291456 6945284736 7002014760 7053804810 7159456512 7245389632 7271323020 7358598845 7468815744 7524058464 7716983040 7756077888 7813445328 7877266605 7954951680 8013790080 8151063336 8298684160 8360064960 8402417712 8464565772 8617864320 8681605920 8830318614 8883613440 8949320640 9056737040 9169946253 9260379648 9336019680 9405073080 9452719926 9616548096 9695097360 9766806660 9958420992 10032077952 10188829170 10341437184 10417927104 10503022140 10580707215 10660336128 10685053440 10868084448 11146753280 11203223616 11286087696 11490485760 11575474560 11634116832 11773758152 11932427520 12020685120 12226595004 12448026240 12540097440 12603626568 12696848658 12926796480 13022408880 13245477921 13325420160 13376103936 13585105560 13890569472 14004029520 14107609620 14318913024 14490779264 14542646040 14717197690 14937631488 15048116928 15283243755 15433966080 15512155776 15626890656 15754533210 16027580160 16302126672 16597368320 16720129920 16804835424 16929131544 17235728640 17363211840 17660637228 17767226880 17898641280 18113474080 18339892506 18672039360 18810146160 18905439852 19233096192 19390194720 19533613320 20064155904 20377658340 20682874368 20835854208 21006044280 21161414430 21736168896 22075796535 22293506560 22406447232 22572175392 23150949120 23268233664 23547516304 23631799815 23864855040 24041370240 24453190008 24896052480 25080194880 25207253136 25393697316 25853592960 26044817760 26490955842 26650840320 27170211120 27509838759 27781138944 28008059040 28215219240 28981558528 29085292080 29434395380 29875262976 30096233856 30566487510 31024311552 31253781312 31509066420 31742121645 32055160320 32604253344 33440259840 33609670848 33858263088 34471457280 34726423680 35321274456 35797282560 36226948160 36679785012 37344078720 37620292320 37810879704 38780389440 39067226640 39736433763 40128311808 40755316680 41671708416 42012088560 42322828860 43472337792 44151593070 44812894464 45144350784 45849731265 46301898240 46536467328 47095032608 47263599630 48082740480 48906380016 49792104960 50160389760 50414506272 50787394632 51707185920 52089635520 52981911684 53301680640 54340422240 55019677518 56016118080 56430438480 57963117056 58170584160 58868790760 60192467712 61132975020 62048623104 62507562624 63018132840 63484243290 65208506688 66227389605 66880519680 67219341696 67716526176 69452847360 70642548912 71594565120 72453896320 73359570024 74688157440 75240584640 75621759408 77560778880 78134453280 79472867526 81510633360 82529516277 83343416832 84024177120 84645657720 86944675584 88303186140 89625788928 90288701568 91699462530 93072934656 94190065216 94527199260 96165480960 97812760032 100320779520 100829012544 101574789264 103414371840 104179271040 105963823368 108680844480 110039355036 112032236160 112860876960 116341168320 117737581520 119209301289 120384935424 122265950040 125015125248 126036265680 126968486580 130417013376 132454779210 134438683392 135433052352 137549193795 138905694720 141285097824 144907792640 146719140048 149376314880 150481169280 151243518816 155121557760 156268906560 158945735052 163021266720 165059032554 168048354240 169291315440 173889351168 176606372280 180577403136 183398925060 186145869312 188380130432 189054398520 195625520064 198682168815 200641559040 201658025088 203149578528 208358542080 211927646736 217361688960 220078710072 224064472320 225721753920 232682336640 235475163040 238418602578 244531900080 250030250496 252072531360 253936973160 260834026752 264909558420 268877366784 270866104704 275098387590 282570195648 289815585280 293438280096 300962338560 302487037632 310243115520 312537813120 317891470104 326042533440 330118065108 336096708480 338582630880 353212744560 357627903867 361154806272 366797850120 376760260864 378108797040 391251040128 397364337630 403316050176 406299157056 412647581385 416717084160 423855293472 434723377920 440157420144 448128944640 451443507840 465364673280 470950326080 476837205156 489063800160 504145062720 507873946320 521668053504 529819116840 541732209408 550196775180 565140391296 586876560192 596046506445 601924677120 604974075264 625075626240 635782940208 652085066880 660236130216 672193416960 677165261760 706425489120 715255807734 733595700240 753520521728 756217594080 782502080256 794728675260 806632100352 812598314112 825295162770 847710586944 869446755840 880314840288 902887015680 930729346560 941900652160 953674410312 978127600320 1008290125440 1015747892640 1059638233680 1072883711601 1083464418816 1100393550360 1130280782592 1173753120384 1192093012890 1209948150528 1250151252480 1271565880416 1304170133760 1320472260432 1344386833920 1354330523520 1412850978240 1430511615468 1467191400480 1512435188160 1565004160512 1589457350520 1625196628224 1650590325540 1695421173888 1760629680576 1788139519335 1805774031360 1883801304320 1907348820624 1956255200640 2016580250880 2031495785280 2119276467360 2145767423202 2200787100720 2260561565184 2347506240768 2384186025780 2419896301056 2543131760832 2608340267520 2640944520864 2708661047040 2825701956480 2861023230936 2934382800960 3024870376320 3178914701040 3250393256448 3301180651080 3390842347776 3521259361152 3576279038670 3767602608640 3814697641248 3912510401280 4033160501760 4062991570560 4238552934720 4291534846404 4401574201440 4695012481536 4768372051560 5086263521664 5281889041728 5364418558005 5417322094080 5651403912960 5722046461872 5868765601920 6049740752640 6357829402080 6602361302160 6781684695552 7042518722304 7152558077340 7629395282496 7825020802560 8125983141120 8477105869440 8583069692808 8803148402880 9536744103120 10172527043328 10563778083456 10728837116010 11302807825920 11444092923744 11737531203840 12099481505280 12715658804160 13204722604320 14085037444608 14305116154680 15258790564992 16251966282240 16954211738880 17166139385616 17606296805760 19073488206240 20345054086656 21127556166912 21457674232020 22888185847488 23475062407680 25431317608320 26409445208640 28610232309360 30517581129984 33908423477760 34332278771232 35212593611520 38146976412480 42255112333824 42915348464040 45776371694976 50862635216640 52818890417280 57220464618720 61035162259968 68664557542464 70425187223040 76293952824960 85830696928080 91552743389952 101725270433280 105637780834560 114440929237440 137329115084928 152587905649920 171661393856160 183105486779904 211275561669120 228881858474880 274658230169856 305175811299840 343322787712320 457763716949760 549316460339712 686645575424640 915527433899520 1373291150849280 2746582301698560
- Sum of all divisors σ(n): 10743616243319058
- Sum of proper divisors (its aliquot sum) s(n): 7997033941620498
- 2746582301698560 is an abundant number, because the sum of its proper divisors (7997033941620498) is greater than itself. Its abundance is 5250451639921938
Bases of 2746582301698560
- Binary: 10011100001000000000100001100111000001101010000000002
- Hexadecimal: 0x9C20086706A00
- Base-36: R1KYHNS000
Squares and roots of 2746582301698560
- 2746582301698560 squared (27465823016985602) is 7543714340003759665861106073600
- 2746582301698560 cubed (27465823016985603) is 20719432295323959661064814218217297612374016000
-
The
square root of 2746582301698560 is 52407845.8028810797 -
The
cube root of 2746582301698560 is 140043.9029264933
Scales and comparisons
How big is 2746582301698560?- 2,746,582,301,698,560 seconds is equal to 87,332,821 years, 23 weeks, 5 days, 9 hours, 36 minutes.
-
To count from 1 to 2,746,582,301,698,560 would take you about two hundred sixty-one million, nine hundred ninety-eight thousand, four hundred sixty-four 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 2746582301698560 cubic inches would be around 11670.3 feet tall.
Recreational maths with 2746582301698560
- 2746582301698560 backwards is 0658961032856472
- 2746582301698560 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2746582301698560's digits is 72
- 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 2746582301698560 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 2746582301698560 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/2746582301698560/
Chicago style:
Numbermatics. 2024. "Number 2746582301698560 - Facts about the integer". https://numbermatics.com/n/2746582301698560/
The information we have on file for 2746582301698560 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 2746582301698560, math, Factors of 2746582301698560, curriculum, school, college, exams, university, Prime factorization of 2746582301698560, STEM, science, technology, engineering, physics, economics, calculator, two quadrillion, seven hundred forty-six trillion, five hundred eighty-two billion, three hundred one million, six hundred ninety-eight thousand, five hundred sixty.