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256374388960 = 2551602339931
BaseRepresentation
bin1110111011000100011…
…0101011100011100000
3220111202011122100220021
43232301012223203200
513200023320421320
6313435440523224
724344124231064
oct3566106534340
9814664570807
10256374388960
1199800727aa8
124182b320514
131b23989cb91
14c5a1239aa4
156a07756daa
hex3bb11ab8e0

256374388960 has 24 divisors (see below), whose sum is σ = 605684494296. Its totient is φ = 102549755520.

The previous prime is 256374388871. The next prime is 256374388969. The reversal of 256374388960 is 69883473652.

256374388960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2563743889602 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256374388969) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 801169806 + ... + 801170125.

It is an arithmetic number, because the mean of its divisors is an integer number (25236853929).

Almost surely, 2256374388960 is an apocalyptic number.

256374388960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256374388960 is an abundant number, since it is smaller than the sum of its proper divisors (349310105336).

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

256374388960 is a wasteful number, since it uses less digits than its factorization.

256374388960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602339946 (or 1602339938 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 256374388960 in words is "two hundred fifty-six billion, three hundred seventy-four million, three hundred eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1602339931 3204679862 6409359724 8011699655 12818719448 16023399310 25637438896 32046798620 51274877792 64093597240 128187194480 256374388960