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55873164960 = 2535531151307
BaseRepresentation
bin110100000010010011…
…001101011010100000
312100012220012212100000
4310002103031122200
51403412012234320
641400123500000
74015406031444
oct640223153240
9170186185300
1055873164960
1121771a43898
12a9b3987600
13536578a772
1429c0764824
1516c02c6c90
hexd024cd6a0

55873164960 has 576 divisors, whose sum is σ = 206128226304. Its totient is φ = 14276736000.

The previous prime is 55873164959. The next prime is 55873164973. The reversal of 55873164960 is 6946137855.

55873164960 is a `hidden beast` number, since 5 + 587 + 3 + 16 + 49 + 6 + 0 = 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 = 55873164897 and 55873164906.

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, 181997127 + ... + 181997433.

It is an arithmetic number, because the mean of its divisors is an integer number (357861504).

Almost surely, 255873164960 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 55873164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103064113152).

55873164960 is an abundant number, since it is smaller than the sum of its proper divisors (150255061344).

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

55873164960 is a wasteful number, since it uses less digits than its factorization.

55873164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 55873164960 in words is "fifty-five billion, eight hundred seventy-three million, one hundred sixty-four thousand, nine hundred sixty".