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56316395520 = 21932571131
BaseRepresentation
bin110100011100101110…
…000000000000000000
312101100210020022100200
4310130232000000000
51410313444124040
641512115445200
74032400315020
oct643456000000
9171323208320
1056316395520
112197a156540
12aab82b6800
135406557178
142a2357da80
1516e9179630
hexd1cb80000

56316395520 has 960 divisors, whose sum is σ = 251255347200. Its totient is φ = 11324620800.

The previous prime is 56316395501. The next prime is 56316395549. The reversal of 56316395520 is 2559361365.

56316395520 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 639 + 5 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 47 ways as a sum of consecutive naturals, for example, 1816657905 + ... + 1816657935.

It is an arithmetic number, because the mean of its divisors is an integer number (261724320).

Almost surely, 256316395520 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 56316395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125627673600).

56316395520 is an abundant number, since it is smaller than the sum of its proper divisors (194938951680).

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

56316395520 is an equidigital number, since it uses as much as digits as its factorization.

56316395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 56316395520 in words is "fifty-six billion, three hundred sixteen million, three hundred ninety-five thousand, five hundred twenty".