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56258371260 = 223357137315683
BaseRepresentation
bin110100011001010000…
…101001111010111100
312101012202001101001000
4310121100221322330
51410204120340020
641502244050300
74031064160050
oct643120517274
9171182041030
1056258371260
112194a425003
12aaa0993990
1353c751c5a0
142a19997c60
1516e4017090
hexd19429ebc

56258371260 has 384 divisors, whose sum is σ = 218381506560. Its totient is φ = 11706550272.

The previous prime is 56258371231. The next prime is 56258371307. The reversal of 56258371260 is 6217385265.

56258371260 is a `hidden beast` number, since 5 + 6 + 2 + 583 + 7 + 1 + 2 + 60 = 666.

56258371260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3579379 + ... + 3595061.

It is an arithmetic number, because the mean of its divisors is an integer number (568701840).

Almost surely, 256258371260 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 56258371260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109190753280).

56258371260 is an abundant number, since it is smaller than the sum of its proper divisors (162123135300).

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

56258371260 is a wasteful number, since it uses less digits than its factorization.

56258371260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15794 (or 15786 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 56258371260 in words is "fifty-six billion, two hundred fifty-eight million, three hundred seventy-one thousand, two hundred sixty".