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55712928960 = 263251312711717
BaseRepresentation
bin110011111000101111…
…111101010011000000
312022210201201000212100
4303320233331103000
51403100002211320
641332201230400
74011422040213
oct637057752300
9168721630770
1055712928960
112169a550147
12a96a192400
13533b516770
1429a737377a
1516b11c4790
hexcf8bfd4c0

55712928960 has 336 divisors, whose sum is σ = 208012686336. Its totient is φ = 13604806656.

The previous prime is 55712928959. The next prime is 55712928977. The reversal of 55712928960 is 6982921755.

55712928960 is a `hidden beast` number, since 5 + 571 + 2 + 9 + 2 + 8 + 9 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 55712928897 and 55712928906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4749022 + ... + 4760738.

It is an arithmetic number, because the mean of its divisors is an integer number (619085376).

Almost surely, 255712928960 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 55712928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104006343168).

55712928960 is an abundant number, since it is smaller than the sum of its proper divisors (152299757376).

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

55712928960 is a wasteful number, since it uses less digits than its factorization.

55712928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11880 (or 11867 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 55712928960 in words is "fifty-five billion, seven hundred twelve million, nine hundred twenty-eight thousand, nine hundred sixty".