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56691710460 = 22355711197769
BaseRepresentation
bin110100110011000101…
…101101100111111100
312102022221110021200000
4310303011231213330
51412101034213320
642013244034300
74044605405460
oct646305554774
9172287407600
1056691710460
1122051aa1180
12aba1b32990
135466234a08
142a5b35a4a0
15171c0b3c90
hexd3316d9fc

56691710460 has 576 divisors, whose sum is σ = 223757614080. Its totient is φ = 11705057280.

The previous prime is 56691710359. The next prime is 56691710521. The reversal of 56691710460 is 6401719665.

56691710460 is a `hidden beast` number, since 566 + 9 + 17 + 10 + 4 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73720956 + ... + 73721724.

It is an arithmetic number, because the mean of its divisors is an integer number (388468080).

Almost surely, 256691710460 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 56691710460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111878807040).

56691710460 is an abundant number, since it is smaller than the sum of its proper divisors (167065903620).

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

56691710460 is a wasteful number, since it uses less digits than its factorization.

56691710460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 56691710460 in words is "fifty-six billion, six hundred ninety-one million, seven hundred ten thousand, four hundred sixty".