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55580774832 = 243311891131163
BaseRepresentation
bin110011110000110111…
…110101000110110000
312022110112000220111000
4303300313311012300
51402312134243312
641311120522000
74005225535212
oct636067650660
9168415026430
1055580774832
1121631997860
12a931a80300
13531a02565b
1429939b25b2
1516a47bcadc
hexcf0df51b0

55580774832 has 320 divisors, whose sum is σ = 177706483200. Its totient is φ = 16491847680.

The previous prime is 55580774827. The next prime is 55580774857. The reversal of 55580774832 is 23847708555.

55580774832 is a `hidden beast` number, since 5 + 558 + 0 + 7 + 7 + 4 + 83 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47790283 + ... + 47791445.

It is an arithmetic number, because the mean of its divisors is an integer number (555332760).

Almost surely, 255580774832 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 55580774832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88853241600).

55580774832 is an abundant number, since it is smaller than the sum of its proper divisors (122125708368).

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

55580774832 is a wasteful number, since it uses less digits than its factorization.

55580774832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 55580774832 in words is "fifty-five billion, five hundred eighty million, seven hundred seventy-four thousand, eight hundred thirty-two".