82768345631357568
82,768,345,631,357,568 is an even composite number composed of six prime numbers multiplied together.
What does the number 82768345631357568 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 512 divisors.
82768345631357568 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 82768345631357568:
27 × 3 × 73 × 13 × 19 × 2544145687
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 19 × 2544145687)See below for interesting mathematical facts about the number 82768345631357568 from the Numbermatics database.
Names of 82768345631357568
- Cardinal: 82768345631357568 can be written as Eighty-two quadrillion, seven hundred sixty-eight trillion, three hundred forty-five billion, six hundred thirty-one million, three hundred fifty-seven thousand, five hundred sixty-eight.
Scientific notation
- Scientific notation: 8.2768345631357568 × 1016
Factors of 82768345631357568
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 2544145731
Divisors of 82768345631357568
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 49 52 56 57 64 76 78 84 91 96 98 104 112 114 128 133 147 152 156 168 182 192 196 208 224 228 247 266 273 294 304 312 336 343 364 384 392 399 416 448 456 494 532 546 588 608 624 637 672 686 728 741 784 798 832 896 912 931 988 1029 1064 1092 1176 1216 1248 1274 1344 1372 1456 1482 1568 1596 1664 1729 1824 1862 1911 1976 2058 2128 2184 2352 2432 2496 2548 2688 2744 2793 2912 2964 3136 3192 3458 3648 3724 3822 3952 4116 4256 4368 4459 4704 4992 5096 5187 5488 5586 5824 5928 6272 6384 6517 6916 7296 7448 7644 7904 8232 8512 8736 8918 9408 10192 10374 10976 11172 11648 11856 12103 12768 13034 13377 13832 14896 15288 15808 16464 17024 17472 17836 18816 19551 20384 20748 21952 22344 23712 24206 25536 26068 26754 27664 29792 30576 31616 32928 34944 35672 36309 39102 40768 41496 43904 44688 47424 48412 51072 52136 53508 55328 59584 61152 65856 71344 72618 78204 81536 82992 84721 89376 94848 96824 104272 107016 110656 119168 122304 131712 142688 145236 156408 165984 169442 178752 193648 208544 214032 221312 244608 254163 285376 290472 312816 331968 338884 357504 387296 417088 428064 508326 570752 580944 625632 663936 677768 774592 834176 856128 1016652 1161888 1251264 1355536 1549184 1712256 2033304 2323776 2502528 2711072 4066608 4647552 5422144 8133216 10844288 16266432 32532864 2544145687 5088291374 7632437061 10176582748 15264874122 17809019809 20353165496 30529748244 33073893931 35618039618 40706330992 48338768053 53427059427 61059496488 66147787862 71236079236 81412661984 96677536106 99221681793 106854118854 122118992976 124663138663 132295575724 142472158472 145016304159 162825323968 193355072212 198443363586 213708237708 231517257517 244237985952 249326277326 264591151448 284944316944 290032608318 325650647936 338371376371 373989415989 386710144424 396886727172 427416475416 463034515034 488475971904 498652554652 529182302896 569888633888 580065216636 628403984689 676742752742 694551772551 747978831978 773420288848 793773454344 854832950832 872641970641 926069030068 976951943808 997305109304 1015114129113 1058364605792 1139777267776 1160130433272 1256807969378 1353485505484 1389103545102 1495957663956 1546840577696 1587546908688 1620620802619 1709665901664 1745283941282 1852138060136 1885211954067 1994610218608 2030228258226 2116729211584 2279554535552 2320260866544 2368599634597 2513615938756 2617925911923 2706971010968 2778207090204 2991915327912 3093681155392 3175093817376 3241241605238 3419331803328 3490567882564 3704276120272 3770423908134 3989220437216 4060456516452 4233458423168 4398827892823 4640521733088 4737199269194 4861862407857 5027231877512 5235851823846 5413942021936 5556414180408 5983830655824 6187362310784 6350187634752 6482483210476 6838663606656 6981135765128 7105798903791 7408552240544 7540847816268 7978440874432 8120913032904 8797655785646 9281043466176 9474398538388 9723724815714 10054463755024 10471703647692 10827884043872 11112828360816 11344345618333 11967661311648 12700375269504 12964966420952 13196483678469 13962271530256 14211597807582 14817104481088 15081695632536 15956881748864 16241826065808 16580197442179 17595311571292 18562086932352 18948797076776 19447449631428 20108927510048 20943407295384 21655768087744 22225656721632 22688691236666 23935322623296 25929932841904 26392967356938 27924543060512 28423195615164 29634208962176 30163391265072 30791795249761 32483652131616 33160394884358 34033036854999 35190623142584 37897594153552 38894899262856 40217855020096 41886814590768 43311536175488 44451313443264 45377382473332 47870645246592 49740592326537 51859865683808 52785934713876 55849086121024 56846391230328 60326782530144 61583590499522 64967304263232 66320789768716 68066073709998 70381246285168 75795188307104 77789798525712 80435710040192 83773629181536 88902626886528 90754764946664 92375385749283 99481184653074 103719731367616 105571869427752 111698172242048 113692782460656 120653565060288 123167180999044 129934608526464 132641579537432 136132147419996 140762492570336 151590376614208 155579597051424 167547258363072 181509529893328 184750771498566 198962369306148 207439462735232 211143738855504 215542566748327 227385564921312 241307130120576 246334361998088 265283159074864 272264294839992 281524985140672 303180753228416 311159194102848 335094516726144 363019059786656 369501542997132 397924738612296 422287477711008 431085133496654 454771129842624 492668723996176 530566318149728 544528589679984 563049970281344 622318388205696 646627700244981 726038119573312 739003085994264 795849477224592 844574955422016 862170266993308 909542259685248 985337447992352 1061132636299456 1089057179359968 1293255400489962 1452076239146624 1478006171988528 1591698954449184 1689149910844032 1724340533986616 1970674895984704 2122265272598912 2178114358719936 2586510800979924 2956012343977056 3183397908898368 3448681067973232 3941349791969408 4356228717439872 5173021601959848 5912024687954112 6366795817796736 6897362135946464 10346043203919696 11824049375908224 13794724271892928 20692086407839392 27589448543785856 41384172815678784 82768345631357568
- Sum of all divisors σ(n): 290643203397120000
- Sum of proper divisors (its aliquot sum) s(n): 207874857765762432
- 82768345631357568 is an abundant number, because the sum of its proper divisors (207874857765762432) is greater than itself. Its abundance is 125106512134404864
Bases of 82768345631357568
- Binary: 1001001100000110101011111001100000000000011111010100000002
- Hexadecimal: 0x1260D5F3000FA80
- Base-36: MMYXH2DJYIO
Squares and roots of 82768345631357568
- 82768345631357568 squared (827683456313575682) is 6850599038551867411782298670874624
- 82768345631357568 cubed (827683456313575683) is 567012749004706810655899612245318965270315041554432
-
The
square root of 82768345631357568 is 287694882.8730840809 -
The
cube root of 82768345631357568 is 435800.8686360879
Scales and comparisons
How big is 82768345631357568?- 82,768,345,631,357,568 seconds is equal to 2,631,777,371 years, 40 weeks, 1 day, 21 hours, 32 minutes, 48 seconds.
-
To count from 1 to 82,768,345,631,357,568 would take you about seven billion, eight hundred ninety-five million, three hundred thirty-two thousand, one hundred fifteen 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 82768345631357568 cubic inches would be around 36316.7 feet tall.
Recreational maths with 82768345631357568
- 82768345631357568 backwards is 86575313654386728
- The number of decimal digits it has is: 17
- The sum of 82768345631357568's digits is 87
- More coming soon!
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The information we have on file for 82768345631357568 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!
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