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55686685824 = 27327211231263
BaseRepresentation
bin110011110111001011…
…110110010010000000
312022201220022202001100
4303313023312102000
51403021242421244
641325422534400
74010653006500
oct636713662200
9168656282040
1055686685824
1121686756300
12a961437400
135335c58793
1429a3aa1a00
1516adc3db69
hexcf72f6480

55686685824 has 864 divisors, whose sum is σ = 212306814720. Its totient is φ = 13944268800.

The previous prime is 55686685801. The next prime is 55686685861. The reversal of 55686685824 is 42858668655.

55686685824 is a `hidden beast` number, since 5 + 568 + 6 + 68 + 5 + 8 + 2 + 4 = 666.

55686685824 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 211736317 + ... + 211736579.

It is an arithmetic number, because the mean of its divisors is an integer number (245725480).

Almost surely, 255686685824 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 55686685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106153407360).

55686685824 is an abundant number, since it is smaller than the sum of its proper divisors (156620128896).

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

55686685824 is a wasteful number, since it uses less digits than its factorization.

55686685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 317 counting only the distinct ones).

The product of its digits is 110592000, while the sum is 63.

The spelling of 55686685824 in words is "fifty-five billion, six hundred eighty-six million, six hundred eighty-five thousand, eight hundred twenty-four".