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642031038634496 = 2972919931041089
BaseRepresentation
bin1001000111111011000111111…
…1111111100001101000000000
310010012020120022222100001001012
42101332301333333201220000
51133123014031342300441
610153252553135300052
7252143132440011560
oct22176617777415000
93105216288301035
10642031038634496
1117663091a65a345
1260011abb97a628
1321732361c46b64
14b47867a568da0
154e35a79ca49eb
hex247ec7ffe1a00

642031038634496 has 160 divisors (see below), whose sum is σ = 1524241683360000. Its totient is φ = 264332992315392.

The previous prime is 642031038634493. The next prime is 642031038634519. The reversal of 642031038634496 is 694436830130246.

It is not an unprimeable number, because it can be changed into a prime (642031038634493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5162720 + ... + 36203808.

It is an arithmetic number, because the mean of its divisors is an integer number (9526510521000).

Almost surely, 2642031038634496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642031038634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762120841680000).

642031038634496 is an abundant number, since it is smaller than the sum of its proper divisors (882210644725504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642031038634496 is a wasteful number, since it uses less digits than its factorization.

642031038634496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31041342 (or 31041326 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 59.

The spelling of 642031038634496 in words is "six hundred forty-two trillion, thirty-one billion, thirty-eight million, six hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 199 203 224 232 256 398 406 448 464 512 796 812 896 928 1393 1592 1624 1792 1856 2786 3184 3248 3584 3712 5572 5771 6368 6496 7424 11144 11542 12736 12992 14848 22288 23084 25472 25984 40397 44576 46168 50944 51968 80794 89152 92336 101888 103936 161588 178304 184672 323176 356608 369344 646352 713216 738688 1292704 1477376 2585408 2954752 5170816 10341632 20683264 31041089 62082178 124164356 217287623 248328712 434575246 496657424 869150492 900191581 993314848 1738300984 1800383162 1986629696 3476601968 3600766324 3973259392 6177176711 6301341067 6953203936 7201532648 7946518784 12354353422 12602682134 13906407872 14403065296 15893037568 24708706844 25205364268 27812815744 28806130592 43240236977 49417413688 50410728536 55625631488 57612261184 86480473954 98834827376 100821457072 111251262976 115224522368 172960947908 179138124619 197669654752 201642914144 230449044736 345921895816 358276249238 395339309504 403285828288 460898089472 691843791632 716552498476 790678619008 806571656576 1253966872333 1383687583264 1433104996952 1581357238016 1613143313152 2507933744666 2767375166528 2866209993904 3162714476032 3226286626304 5015867489332 5534750333056 5732419987808 10031734978664 11069500666112 11464839975616 20063469957328 22139001332224 22929679951232 40126939914656 45859359902464 80253879829312 91718719804928 160507759658624 321015519317248 642031038634496