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55567264896 = 273511132312
BaseRepresentation
bin110011110000000100…
…010010110010000000
312022102120121112100000
4303300010102302000
51402300204434041
641305515200000
74005002646513
oct636004226200
9168376545300
1055567264896
11216252aa620
12a929446000
1353172a5300
142991c96d7a
1516a34eebb6
hexcf0112c80

55567264896 has 864 divisors, whose sum is σ = 202405890960. Its totient is φ = 15041894400.

The previous prime is 55567264873. The next prime is 55567264901. The reversal of 55567264896 is 69846276555.

It is a happy number.

55567264896 is a `hidden beast` number, since 5 + 5 + 567 + 2 + 64 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

Its product of digits (108864000) is a multiple of the sum of its prime divisors (60).

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, 1792492401 + ... + 1792492431.

Almost surely, 255567264896 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 55567264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101202945480).

55567264896 is an abundant number, since it is smaller than the sum of its proper divisors (146838626064).

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

55567264896 is a wasteful number, since it uses less digits than its factorization.

55567264896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 60 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 55567264896 in words is "fifty-five billion, five hundred sixty-seven million, two hundred sixty-four thousand, eight hundred ninety-six".