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56540136384 = 2632743132113
BaseRepresentation
bin110100101010000011…
…100000001111000000
312101221101020112010100
4310222003200033000
51411243233331014
641550231202400
74041055141524
oct645203401700
9171841215110
1056540136384
1121a84484346
12ab5b216400
135440a04504
142a45181d84
15170db23009
hexd2a0e03c0

56540136384 has 84 divisors (see below), whose sum is σ = 162281439216. Its totient is φ = 18821203968.

The previous prime is 56540136371. The next prime is 56540136403. The reversal of 56540136384 is 48363104565.

56540136384 is a `hidden beast` number, since 5 + 6 + 5 + 4 + 0 + 1 + 3 + 638 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361912 + ... + 494024.

Almost surely, 256540136384 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 56540136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81140719608).

56540136384 is an abundant number, since it is smaller than the sum of its proper divisors (105741302832).

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

56540136384 is a wasteful number, since it uses less digits than its factorization.

56540136384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132874 (or 132861 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 56540136384 in words is "fifty-six billion, five hundred forty million, one hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 743 1486 2229 2972 4458 5944 6687 8916 11888 13374 17832 23776 26748 35664 47552 53496 71328 106992 132113 142656 213984 264226 396339 427968 528452 792678 1056904 1189017 1585356 2113808 2378034 3170712 4227616 4756068 6341424 8455232 9512136 12682848 19024272 25365696 38048544 76097088 98159959 196319918 294479877 392639836 588959754 785279672 883439631 1177919508 1570559344 1766879262 2355839016 3141118688 3533758524 4711678032 6282237376 7067517048 9423356064 14135034096 18846712128 28270068192 56540136384