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56099290368 = 2831131214211
BaseRepresentation
bin110100001111110001…
…110011110100000000
312100210122201020002010
4310033301303310000
51404342404242433
641434402252520
74024123046262
oct641761636400
9170718636063
1056099290368
11218786501a0
12aa57657140
1353a0591294
142a027c7b32
1516d5091e63
hexd0fc73d00

56099290368 has 144 divisors (see below), whose sum is σ = 168134141952. Its totient is φ = 16451328000.

The previous prime is 56099290349. The next prime is 56099290393. The reversal of 56099290368 is 86309299065.

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 15 ways as a sum of consecutive naturals, for example, 154783 + ... + 368993.

It is an arithmetic number, because the mean of its divisors is an integer number (1167598208).

Almost surely, 256099290368 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 56099290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84067070976).

56099290368 is an abundant number, since it is smaller than the sum of its proper divisors (112034851584).

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

56099290368 is a wasteful number, since it uses less digits than its factorization.

56099290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214272 (or 214258 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 56099290368 in words is "fifty-six billion, ninety-nine million, two hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 528 682 704 744 768 992 1023 1056 1364 1408 1488 1984 2046 2112 2728 2816 2976 3968 4092 4224 5456 5952 7936 8184 8448 10912 11904 16368 21824 23808 32736 43648 65472 87296 130944 214211 261888 428422 642633 856844 1285266 1713688 2356321 2570532 3427376 4712642 5141064 6640541 6854752 7068963 9425284 10282128 13281082 13709504 14137926 18850568 19921623 20564256 26562164 27419008 28275852 37701136 39843246 41128512 53124328 54838016 56551704 73045951 75402272 79686492 82257024 106248656 113103408 146091902 150804544 159372984 164514048 212497312 219137853 226206816 292183804 301609088 318745968 424994624 438275706 452413632 584367608 603218176 637491936 849989248 876551412 904827264 1168735216 1274983872 1699978496 1753102824 1809654528 2337470432 2549967744 3506205648 4674940864 5099935488 7012411296 9349881728 14024822592 18699763456 28049645184 56099290368