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56016616601 = 11192971130171
BaseRepresentation
bin110100001010110110…
…011011110010011001
312100120220010221222202
4310022312123302121
51404210223212401
641422250255545
74022100246011
oct641266336231
9170526127882
1056016616601
1121835a13170
12aa33a275b5
135389405baa
1429d5826c41
1516ccbb106b
hexd0ad9bc99

56016616601 has 32 divisors (see below), whose sum is σ = 67481164800. Its totient is φ = 45923976000.

The previous prime is 56016616577. The next prime is 56016616609. The reversal of 56016616601 is 10661661065.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-56016616601 is a prime.

It is a super-2 number, since 2×560166166012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56016616609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365246 + ... + 495416.

It is an arithmetic number, because the mean of its divisors is an integer number (2108786400).

Almost surely, 256016616601 is an apocalyptic number.

It is an amenable number.

56016616601 is a deficient number, since it is larger than the sum of its proper divisors (11464548199).

56016616601 is a wasteful number, since it uses less digits than its factorization.

56016616601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130301.

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 56016616601 in words is "fifty-six billion, sixteen million, six hundred sixteen thousand, six hundred one".

Divisors: 1 11 19 29 71 209 319 551 781 1349 2059 6061 14839 22649 39121 130171 430331 1431881 2473249 3774959 9242141 27205739 41524549 71724221 101663551 175600679 268022089 788966431 1931607469 2948242979 5092419691 56016616601