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56799795360 = 253571123109613
BaseRepresentation
bin110100111001100010…
…000001100010100000
312102121110211120021110
4310321202001202200
51412311221422420
642032104423320
74050360203010
oct647142014240
9172543746243
1056799795360
11220a8004a40
12b012177b40
135482749489
142a6b853c40
151726813ee0
hexd398818a0

56799795360 has 768 divisors, whose sum is σ = 235285585920. Its totient is φ = 11167580160.

The previous prime is 56799795323. The next prime is 56799795421. The reversal of 56799795360 is 6359799765.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 56799795291 and 56799795300.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 92658414 + ... + 92659026.

It is an arithmetic number, because the mean of its divisors is an integer number (306361440).

Almost surely, 256799795360 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 56799795360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117642792960).

56799795360 is an abundant number, since it is smaller than the sum of its proper divisors (178485790560).

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

56799795360 is a wasteful number, since it uses less digits than its factorization.

56799795360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 96446700, while the sum is 66.

The spelling of 56799795360 in words is "fifty-six billion, seven hundred ninety-nine million, seven hundred ninety-five thousand, three hundred sixty".