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55064710008 = 233372112193173
BaseRepresentation
bin110011010010000111…
…001100101101111000
312021010112222002122000
4303102013030231320
51400233031210013
641144003501000
73656361212100
oct632207145570
9167115862560
1055064710008
1121397658700
12a809087760
135267137359
142945238200
15167432e973
hexcd21ccb78

55064710008 has 1152 divisors, whose sum is σ = 215421696000. Its totient is φ = 12933043200.

The previous prime is 55064709961. The next prime is 55064710033. The reversal of 55064710008 is 80001746055.

55064710008 is a `hidden beast` number, since 5 + 5 + 0 + 647 + 1 + 0 + 0 + 0 + 8 = 666.

55064710008 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 754311060 + ... + 754311132.

It is an arithmetic number, because the mean of its divisors is an integer number (186998000).

Almost surely, 255064710008 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 55064710008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107710848000).

55064710008 is an abundant number, since it is smaller than the sum of its proper divisors (160356985992).

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

55064710008 is a wasteful number, since it uses less digits than its factorization.

55064710008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 55064710008 in words is "fifty-five billion, sixty-four million, seven hundred ten thousand, eight".