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56996732160 = 28345549737
BaseRepresentation
bin110101000101010001…
…010001110100000000
312110010012101222210000
4311011101101310000
51413212130412120
642103421440000
74055301141534
oct650521216400
9173105358700
1056996732160
1122199195525
12b068110000
1354b44a0424
142a89a79bc4
151738c65990
hexd45451d00

56996732160 has 180 divisors, whose sum is σ = 203945101668. Its totient is φ = 15199100928.

The previous prime is 56996732131. The next prime is 56996732161. The reversal of 56996732160 is 6123769965.

56996732160 is a `hidden beast` number, since 569 + 9 + 6 + 73 + 2 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37122499584 + 19874232576 = 192672^2 + 140976^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56996732097 and 56996732106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56996732161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171189 + ... + 378548.

Almost surely, 256996732160 is an apocalyptic number.

It is an amenable number.

56996732160 is an abundant number, since it is smaller than the sum of its proper divisors (146948369508).

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

56996732160 is an equidigital number, since it uses as much as digits as its factorization.

56996732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549770 (or 549747 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 56996732160 in words is "fifty-six billion, nine hundred ninety-six million, seven hundred thirty-two thousand, one hundred sixty".