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56972711727965 = 5112345037716781
BaseRepresentation
bin11001111010000111111100…
…01111101001001101011101
321110201112112020102101121002
430331003332033221031131
524431420103200243330
6321100522532320045
715000066623253035
oct1475037617511535
9243645466371532
1056972711727965
1117175a9a5497a0
126481839a73025
1325a3671718177
14100d6cb5dc8c5
1568bece834e45
hex33d0fe3e935d

56972711727965 has 16 divisors (see below), whose sum is σ = 77825174599296. Its totient is φ = 39633190766400.

The previous prime is 56972711727961. The next prime is 56972711728061.

It is a happy number.

56972711727965 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56972711727965 - 22 = 56972711727961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56972711727892 and 56972711727901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56972711727961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22518857126 + ... + 22518859655.

It is an arithmetic number, because the mean of its divisors is an integer number (4864073412456).

Almost surely, 256972711727965 is an apocalyptic number.

56972711727965 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56972711727965 is a deficient number, since it is larger than the sum of its proper divisors (20852462871331).

56972711727965 is a wasteful number, since it uses less digits than its factorization.

56972711727965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45037716820.

The product of its digits is 700131600, while the sum is 74.

The spelling of 56972711727965 in words is "fifty-six trillion, nine hundred seventy-two billion, seven hundred eleven million, seven hundred twenty-seven thousand, nine hundred sixty-five".

Divisors: 1 5 11 23 55 115 253 1265 45037716781 225188583905 495414884591 1035867485963 2477074422955 5179337429815 11394542345593 56972711727965