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256511327004 = 22327125314639
BaseRepresentation
bin1110111011100101000…
…1000011101100011100
3220112002201022112120200
43232321101003230130
513200313344431004
6313501211543500
724350406206262
oct3567121035434
9815081275520
10256511327004
1199870a58639
124186915ab90
131b25c0775ca
14c5b54c4432
156a147a6239
hex3bb9443b1c

256511327004 has 18 divisors (see below), whose sum is σ = 648403632240. Its totient is φ = 85503775656.

The previous prime is 256511327003. The next prime is 256511327041. The reversal of 256511327004 is 400723115652.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 7125314639 = 256511327004 / (2 + 5 + 6 + 5 + 1 + 1 + 3 + 2 + 7 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 256511327004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256511327003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3562657284 + ... + 3562657355.

Almost surely, 2256511327004 is an apocalyptic number.

It is an amenable number.

256511327004 is an abundant number, since it is smaller than the sum of its proper divisors (391892305236).

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

256511327004 is a wasteful number, since it uses less digits than its factorization.

256511327004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7125314649 (or 7125314644 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 256511327004 in words is "two hundred fifty-six billion, five hundred eleven million, three hundred twenty-seven thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 7125314639 14250629278 21375943917 28501258556 42751887834 64127831751 85503775668 128255663502 256511327004