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56038613664 = 2531172197351
BaseRepresentation
bin110100001100001010…
…010110001010100000
312100122102112112021210
4310030022112022200
51404231341114124
641424353550120
74022455233255
oct641412261240
9170572475253
1056038613664
1121847377960
12aa3b275340
135390b382c7
1429d871142c
1516ceaa8a29
hexd0c2962a0

56038613664 has 96 divisors (see below), whose sum is σ = 160518274560. Its totient is φ = 16976736000.

The previous prime is 56038613633. The next prime is 56038613689. The reversal of 56038613664 is 46631683065.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 7619589 + ... + 7626939.

It is an arithmetic number, because the mean of its divisors is an integer number (1672065360).

Almost surely, 256038613664 is an apocalyptic number.

It is an amenable number.

56038613664 is an abundant number, since it is smaller than the sum of its proper divisors (104479660896).

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

56038613664 is a wasteful number, since it uses less digits than its factorization.

56038613664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14594 (or 14586 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 56038613664 in words is "fifty-six billion, thirty-eight million, six hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 7219 7351 14438 14702 21657 22053 28876 29404 43314 44106 57752 58808 79409 80861 86628 88212 115504 117616 158818 161722 173256 176424 231008 235232 238227 242583 317636 323444 346512 352848 476454 485166 635272 646888 693024 705696 952908 970332 1270544 1293776 1905816 1940664 2541088 2587552 3811632 3881328 7623264 7762656 53066869 106133738 159200607 212267476 318401214 424534952 583735559 636802428 849069904 1167471118 1273604856 1698139808 1751206677 2334942236 2547209712 3502413354 4669884472 5094419424 7004826708 9339768944 14009653416 18679537888 28019306832 56038613664