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56165600601 = 321119925711093
BaseRepresentation
bin110100010011101110…
…110000110101011001
312100222021111010121200
4310103232300311121
51410011343204401
641445131424413
74025556504465
oct642356606531
9170867433550
1056165600601
1121902021040
12aa758b5109
1353b123a4c6
142a0b5294a5
1516dacde686
hexd13bb0d59

56165600601 has 48 divisors (see below), whose sum is σ = 89302262400. Its totient is φ = 33733877760.

The previous prime is 56165600599. The next prime is 56165600653. The reversal of 56165600601 is 10600656165.

It is not a de Polignac number, because 56165600601 - 21 = 56165600599 is a prime.

It is a super-2 number, since 2×561656006012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56165601601) 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 47 ways as a sum of consecutive naturals, for example, 5057611 + ... + 5068703.

It is an arithmetic number, because the mean of its divisors is an integer number (1860463800).

Almost surely, 256165600601 is an apocalyptic number.

It is an amenable number.

56165600601 is a deficient number, since it is larger than the sum of its proper divisors (33136661799).

56165600601 is a wasteful number, since it uses less digits than its factorization.

56165600601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11566 (or 11563 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 56165600601 in words is "fifty-six billion, one hundred sixty-five million, six hundred thousand, six hundred one".

Divisors: 1 3 9 11 33 99 199 257 597 771 1791 2189 2313 2827 6567 8481 11093 19701 25443 33279 51143 99837 122023 153429 366069 460287 562573 1098207 1687719 2207507 2850901 5063157 6622521 8552703 19867563 24282577 25658109 31359911 72847731 94079733 218543193 282239199 567329299 1701987897 5105963691 6240622289 18721866867 56165600601