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56343554032272 = 2431397971958669
BaseRepresentation
bin11001100111110100000011…
…00001100000001010010000
321101111101120011012221000120
430303322001201200022100
524341113044313013042
6315455512115350240
714603454536135613
oct1463720141401220
9241441504187016
1056343554032272
1116a53192417931
12639b9122b2380
13255923606b0b0
14dcb084b2c17a
1567a959cbedec
hex333e81860290

56343554032272 has 160 divisors (see below), whose sum is σ = 158529904686720. Its totient is φ = 17140063518720.

The previous prime is 56343554032223. The next prime is 56343554032289. The reversal of 56343554032272 is 27223045534365.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58293354 + ... + 59252022.

It is an arithmetic number, because the mean of its divisors is an integer number (990811904292).

Almost surely, 256343554032272 is an apocalyptic number.

56343554032272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56343554032272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79264952343360).

56343554032272 is an abundant number, since it is smaller than the sum of its proper divisors (102186350654448).

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

56343554032272 is a wasteful number, since it uses less digits than its factorization.

56343554032272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959761 (or 959755 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 51.

The spelling of 56343554032272 in words is "fifty-six trillion, three hundred forty-three billion, five hundred fifty-four million, thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 291 312 388 582 624 776 971 1164 1261 1552 1942 2328 2522 2913 3783 3884 4656 5044 5826 7566 7768 10088 11652 12623 15132 15536 20176 23304 25246 30264 37869 46608 50492 60528 75738 94187 100984 151476 188374 201968 282561 302952 376748 565122 605904 753496 958669 1130244 1224431 1506992 1917338 2260488 2448862 2876007 3673293 3834676 4520976 4897724 5752014 7346586 7669352 9795448 11504028 12462697 14693172 15338704 19590896 23008056 24925394 29386344 37388091 46016112 49850788 58772688 74776182 92990893 99701576 149552364 185981786 199403152 278972679 299104728 371963572 557945358 598209456 743927144 930867599 1115890716 1208881609 1487854288 1861735198 2231781432 2417763218 2792602797 3626644827 3723470396 4463562864 4835526436 5585205594 7253289654 7446940792 9671052872 11170411188 12101278787 14506579308 14893881584 19342105744 22340822376 24202557574 29013158616 36303836361 44681644752 48405115148 58026317232 72607672722 90294157103 96810230296 145215345444 180588314206 193620460592 270882471309 290430690888 361176628412 541764942618 580861381776 722353256824 1083529885236 1173824042339 1444706513648 2167059770472 2347648084678 3521472127017 4334119540944 4695296169356 7042944254034 9390592338712 14085888508068 18781184677424 28171777016136 56343554032272