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56824668000 = 2532531983077
BaseRepresentation
bin110100111011000000…
…111001111101100000
312102200012122020010100
4310323000321331200
51412334103334000
642034353502400
74051111465002
oct647300717540
9172605566110
1056824668000
1122110053141
12b01a571a00
135487947709
142a70c8a372
151728ac8a00
hexd3b039f60

56824668000 has 288 divisors, whose sum is σ = 212287551840. Its totient is φ = 14355532800.

The previous prime is 56824667987. The next prime is 56824668013. The reversal of 56824668000 is 86642865.

56824668000 is a `hidden beast` number, since 568 + 2 + 4 + 6 + 6 + 80 + 0 + 0 = 666.

56824668000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56824667987) and next prime (56824668013).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 642462 + ... + 725538.

It is an arithmetic number, because the mean of its divisors is an integer number (737109555).

Almost surely, 256824668000 is an apocalyptic number.

56824668000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56824668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106143775920).

56824668000 is an abundant number, since it is smaller than the sum of its proper divisors (155462883840).

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

56824668000 is a wasteful number, since it uses less digits than its factorization.

56824668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83127 (or 83106 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 56824668000 in words is "fifty-six billion, eight hundred twenty-four million, six hundred sixty-eight thousand".