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55931380956 = 22351123792879
BaseRepresentation
bin110100000101110001…
…010010010011011100
312100100221202112200000
4310011301102103130
51404021413142311
641410003334300
74020013615413
oct640561222334
9170327675600
1055931380956
11217a1896390
12aa0b381390
1353748616b9
1429c839a47a
1516c5476056
hexd05c524dc

55931380956 has 288 divisors, whose sum is σ = 169073049600. Its totient is φ = 16001219520.

The previous prime is 55931380909. The next prime is 55931380969. The reversal of 55931380956 is 65908313955.

It is a happy number.

55931380956 is a `hidden beast` number, since 559 + 3 + 1 + 3 + 80 + 9 + 5 + 6 = 666.

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

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

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, 19425925 + ... + 19428803.

It is an arithmetic number, because the mean of its divisors is an integer number (587059200).

Almost surely, 255931380956 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 55931380956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84536524800).

55931380956 is an abundant number, since it is smaller than the sum of its proper divisors (113141668644).

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

55931380956 is a wasteful number, since it uses less digits than its factorization.

55931380956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 55931380956 in words is "fifty-five billion, nine hundred thirty-one million, three hundred eighty thousand, nine hundred fifty-six".