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55189892160 = 26335135373127
BaseRepresentation
bin110011011001100100…
…101110110001000000
312021110021112000021000
4303121210232301000
51401012103022120
641204234532000
73662441225454
oct633144566100
9167407460230
1055189892160
1121451289927
12a842b97000
135287056c30
142957b02664
15168030a990
hexcd992ec40

55189892160 has 896 divisors, whose sum is σ = 218262159360. Its totient is φ = 13042778112.

The previous prime is 55189892123. The next prime is 55189892183. The reversal of 55189892160 is 6129898155.

55189892160 is a `hidden beast` number, since 551 + 8 + 9 + 8 + 9 + 21 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55189892097 and 55189892106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 434566017 + ... + 434566143.

It is an arithmetic number, because the mean of its divisors is an integer number (243596160).

Almost surely, 255189892160 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 55189892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109131079680).

55189892160 is an abundant number, since it is smaller than the sum of its proper divisors (163072267200).

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

55189892160 is a wasteful number, since it uses less digits than its factorization.

55189892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 55189892160 in words is "fifty-five billion, one hundred eighty-nine million, eight hundred ninety-two thousand, one hundred sixty".