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56935452096 = 26357151563
BaseRepresentation
bin110101000001100111…
…100000110111000000
312102221221002122100000
4311001213200313000
51413100433431341
642053352200000
74053625233465
oct650147406700
9172857078300
1056935452096
112216763a946
12b04b699000
1354a4895933
142a8188766c
1517336ad8b6
hexd419e0dc0

56935452096 has 168 divisors, whose sum is σ = 171626442624. Its totient is φ = 18710818560.

The previous prime is 56935452061. The next prime is 56935452107. The reversal of 56935452096 is 69025453965.

It is a happy number.

56935452096 is a `hidden beast` number, since 5 + 6 + 9 + 3 + 545 + 2 + 0 + 96 = 666.

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

It is a congruent number.

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, 1078411 + ... + 1129973.

It is an arithmetic number, because the mean of its divisors is an integer number (1021585968).

Almost surely, 256935452096 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 56935452096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85813221312).

56935452096 is an abundant number, since it is smaller than the sum of its proper divisors (114690990528).

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

56935452096 is an equidigital number, since it uses as much as digits as its factorization.

56935452096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51661 (or 51639 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 56935452096 in words is "fifty-six billion, nine hundred thirty-five million, four hundred fifty-two thousand, ninety-six".