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56959915320 = 2332571119831303
BaseRepresentation
bin110101000011000100…
…110101010100111000
312110000122010111120100
4311003010311110320
51413123214242240
642100024355400
74054343202030
oct650304652470
9173018114510
1056959915320
112217a429490
12b057915b60
1354a997c709
142a84c148c0
1517358e1e30
hexd43135538

56959915320 has 768 divisors, whose sum is σ = 246061670400. Its totient is φ = 11069291520.

The previous prime is 56959915303. The next prime is 56959915381. The reversal of 56959915320 is 2351995965.

It is a happy number.

56959915320 is a `hidden beast` number, since 5 + 6 + 9 + 599 + 15 + 32 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43713789 + ... + 43715091.

It is an arithmetic number, because the mean of its divisors is an integer number (320392800).

Almost surely, 256959915320 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 56959915320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123030835200).

56959915320 is an abundant number, since it is smaller than the sum of its proper divisors (189101755080).

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

56959915320 is a wasteful number, since it uses less digits than its factorization.

56959915320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 3280500, while the sum is 54.

It can be divided in two parts, 56959 and 915320, that added together give a palindrome (972279).

The spelling of 56959915320 in words is "fifty-six billion, nine hundred fifty-nine million, nine hundred fifteen thousand, three hundred twenty".