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56566273104 = 24331137321721
BaseRepresentation
bin110100101011100111…
…001101010001010000
312102000012102101222000
4310223213031101100
51411321431214404
641553003314000
74041523250055
oct645347152120
9172005371860
1056566273104
1121a98206240
12ab67b1b900
135446255c23
142a4882702c
151711087339
hexd2b9cd450

56566273104 has 160 divisors (see below), whose sum is σ = 181914487680. Its totient is φ = 16677964800.

The previous prime is 56566273079. The next prime is 56566273123. The reversal of 56566273104 is 40137266565.

56566273104 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 627 + 3 + 10 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56566273104.

It is a congruent number.

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, 14964 + ... + 336684.

It is an arithmetic number, because the mean of its divisors is an integer number (1136965548).

Almost surely, 256566273104 is an apocalyptic number.

56566273104 is a gapful number since it is divisible by the number (54) 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 56566273104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90957243840).

56566273104 is an abundant number, since it is smaller than the sum of its proper divisors (125348214576).

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

56566273104 is a wasteful number, since it uses less digits than its factorization.

56566273104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321786 (or 321774 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 56566273104 in words is "fifty-six billion, five hundred sixty-six million, two hundred seventy-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 37 44 48 54 66 72 74 88 99 108 111 132 144 148 176 198 216 222 264 296 297 333 396 407 432 444 528 592 594 666 792 814 888 999 1188 1221 1332 1584 1628 1776 1998 2376 2442 2664 3256 3663 3996 4752 4884 5328 6512 7326 7992 9768 10989 14652 15984 19536 21978 29304 43956 58608 87912 175824 321721 643442 965163 1286884 1930326 2573768 2895489 3538931 3860652 5147536 5790978 7077862 7721304 8686467 10616793 11581956 11903677 14155724 15442608 17372934 21233586 23163912 23807354 28311448 31850379 34745868 35711031 42467172 46327824 47614708 56622896 63700758 69491736 71422062 84934344 95229416 95551137 107133093 127401516 130940447 138983472 142844124 169868688 190458832 191102274 214266186 254803032 261880894 285688248 321399279 382204548 392821341 428532372 509606064 523761788 571376496 642798558 764409096 785642682 857064744 1047523576 1178464023 1285597116 1528818192 1571285364 1714129488 2095047152 2356928046 2571194232 3142570728 3535392069 4713856092 5142388464 6285141456 7070784138 9427712184 14141568276 18855424368 28283136552 56566273104