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56265962747904 = 2113271331931337
BaseRepresentation
bin11001100101100011100001…
…01110001111100000000000
321101012222021200112021200200
430302301300232033200000
524333330142430413104
6315400120525045200
714565040003120560
oct1462616056174000
9241188250467620
1056265962747904
1116a23296136528
1263888790b6800
132551b1bc84000
14dc7403c40da0
15678917ee9b39
hex332c70b8f800

56265962747904 has 2304 divisors, whose sum is σ = 219260740608000. Its totient is φ = 13564489236480.

The previous prime is 56265962747879. The next prime is 56265962747909. The reversal of 56265962747904 is 40974726956265.

56265962747904 is a `hidden beast` number, since 5 + 6 + 2 + 6 + 596 + 27 + 4 + 7 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56265962747909) 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 191 ways as a sum of consecutive naturals, for example, 166961313624 + ... + 166961313960.

It is an arithmetic number, because the mean of its divisors is an integer number (95165252000).

Almost surely, 256265962747904 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 56265962747904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109630370304000).

56265962747904 is an abundant number, since it is smaller than the sum of its proper divisors (162994777860096).

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

56265962747904 is a wasteful number, since it uses less digits than its factorization.

56265962747904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 56265962747904 in words is "fifty-six trillion, two hundred sixty-five billion, nine hundred sixty-two million, seven hundred forty-seven thousand, nine hundred four".