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56334649344 = 211320294519
BaseRepresentation
bin110100011101110011…
…101000100000000000
312101102001120200220020
4310131303220200000
51410333132234334
641514011013440
74033011422121
oct643563504000
9171361520806
1056334649344
1121989493946
12ab0243a280
13540a27884c
142a25b72048
1516eaa82e49
hexd1dce8800

56334649344 has 96 divisors (see below), whose sum is σ = 150296328000. Its totient is φ = 18764808192.

The previous prime is 56334649331. The next prime is 56334649379. The reversal of 56334649344 is 44394643365.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×563346493442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12463917 + ... + 12468435.

It is an arithmetic number, because the mean of its divisors is an integer number (1565586750).

Almost surely, 256334649344 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 56334649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75148164000).

56334649344 is an abundant number, since it is smaller than the sum of its proper divisors (93961678656).

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

56334649344 is a wasteful number, since it uses less digits than its factorization.

56334649344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6573 (or 6553 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 51.

The spelling of 56334649344 in words is "fifty-six billion, three hundred thirty-four million, six hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2029 2048 3072 4058 4519 6087 6144 8116 9038 12174 13557 16232 18076 24348 27114 32464 36152 48696 54228 64928 72304 97392 108456 129856 144608 194784 216912 259712 289216 389568 433824 519424 578432 779136 867648 1038848 1156864 1558272 1735296 2077696 2313728 3116544 3470592 4155392 4627456 6233088 6941184 9169051 9254912 12466176 13882368 18338102 27507153 27764736 36676204 55014306 73352408 110028612 146704816 220057224 293409632 440114448 586819264 880228896 1173638528 1760457792 2347277056 3520915584 4694554112 7041831168 9389108224 14083662336 18778216448 28167324672 56334649344