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56274920746560 = 26325171149406061
BaseRepresentation
bin11001100101110100001101…
…01010010010111001000000
321101020211101222120202200200
430302322012222102321000
524334002014202342220
6315404201450045200
714565504665626665
oct1462720652227100
9241224358522620
1056274920746560
1116a2707274a4aa
12638a559119800
132552918b19829
14dc7a13841a6c
15678c8e67b890
hex332e86a92e40

56274920746560 has 168 divisors, whose sum is σ = 204948296103096. Its totient is φ = 14123901665280.

The previous prime is 56274920746519. The next prime is 56274920746607. The reversal of 56274920746560 is 6564702947265.

56274920746560 is a `hidden beast` number, since 5 + 6 + 2 + 7 + 4 + 9 + 20 + 7 + 46 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1296373525056 + 54978547221504 = 1138584^2 + 7414752^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574654071 + ... + 574751990.

It is an arithmetic number, because the mean of its divisors is an integer number (1219930333947).

Almost surely, 256274920746560 is an apocalyptic number.

It is an amenable number.

56274920746560 is an abundant number, since it is smaller than the sum of its proper divisors (148673375356536).

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

56274920746560 is a wasteful number, since it uses less digits than its factorization.

56274920746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149406101 (or 1149406088 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 56274920746560 in words is "fifty-six trillion, two hundred seventy-four billion, nine hundred twenty million, seven hundred forty-six thousand, five hundred sixty".