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56580401280 = 2735132978167
BaseRepresentation
bin110100101100011101…
…000110100010000000
312102001012000012011210
4310230131012202000
51411334040320110
641554230210120
74042054322064
oct645435064200
9172035005153
1056580401280
1121aa5185a17
12ab707b3940
1354491617b0
142a4a663aa4
151712428520
hexd2c746880

56580401280 has 256 divisors, whose sum is σ = 200923027200. Its totient is φ = 13447053312.

The previous prime is 56580401261. The next prime is 56580401291. The reversal of 56580401280 is 8210408565.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 684757 + ... + 762923.

It is an arithmetic number, because the mean of its divisors is an integer number (784855575).

Almost surely, 256580401280 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 56580401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100461513600).

56580401280 is an abundant number, since it is smaller than the sum of its proper divisors (144342625920).

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

56580401280 is a wasteful number, since it uses less digits than its factorization.

56580401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78231 (or 78219 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 56580401280 in words is "fifty-six billion, five hundred eighty million, four hundred one thousand, two hundred eighty".