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55997061120 = 21132571113607
BaseRepresentation
bin110100001001101011…
…110101100000000000
312100112112100102220200
4310021223311200000
51404140221423440
641420311205200
74021442110650
oct641153654000
9170475312820
1055997061120
1121825976910
12aa29376800
135385349bc0
1429d2db6360
1516cb0ebc30
hexd09af5800

55997061120 has 1152 divisors, whose sum is σ = 261006520320. Its totient is φ = 10723000320.

The previous prime is 55997061101. The next prime is 55997061157. The reversal of 55997061120 is 2116079955.

55997061120 is a `hidden beast` number, since 5 + 5 + 9 + 9 + 7 + 0 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 92251857 + ... + 92252463.

It is an arithmetic number, because the mean of its divisors is an integer number (226568160).

Almost surely, 255997061120 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 55997061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130503260160).

55997061120 is an abundant number, since it is smaller than the sum of its proper divisors (205009459200).

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

55997061120 is a wasteful number, since it uses less digits than its factorization.

55997061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 55997061120 in words is "fifty-five billion, nine hundred ninety-seven million, sixty-one thousand, one hundred twenty".