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55879446240 = 2533540132257
BaseRepresentation
bin110100000010101011…
…001010111011100000
312100020100000222122000
4310002223022323200
51403420114234430
641400510244000
74015513312302
oct640253127340
9170210028560
1055879446240
1121775544032
12a9b5ab6600
135366b797b7
1429c151b972
1516c0b17e60
hexd02acaee0

55879446240 has 192 divisors, whose sum is σ = 196071865920. Its totient is φ = 14863564800.

The previous prime is 55879446239. The next prime is 55879446251. The reversal of 55879446240 is 4264497855.

55879446240 is a `hidden beast` number, since 5 + 5 + 8 + 7 + 9 + 4 + 4 + 624 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1716192 + ... + 1748448.

It is an arithmetic number, because the mean of its divisors is an integer number (1021207635).

Almost surely, 255879446240 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 55879446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98035932960).

55879446240 is an abundant number, since it is smaller than the sum of its proper divisors (140192419680).

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

55879446240 is a wasteful number, since it uses less digits than its factorization.

55879446240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32682 (or 32668 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 55879446240 in words is "fifty-five billion, eight hundred seventy-nine million, four hundred forty-six thousand, two hundred forty".