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256120634624 = 284492228221
BaseRepresentation
bin1110111010000111111…
…0101011110100000000
3220111002111011022101112
43232201332223310000
513144013340301444
6313354334022452
724334623321401
oct3564176536400
9814074138345
10256120634624
119969046a678
124177a347a28
131b1c914469a
14c5796639a8
1569e033069e
hex3ba1fabd00

256120634624 has 36 divisors (see below), whose sum is σ = 512379648900. Its totient is φ = 127775047680.

The previous prime is 256120634603. The next prime is 256120634681. The reversal of 256120634624 is 426436021652.

It can be written as a sum of positive squares in 2 ways, for example, as 49248486400 + 206872148224 = 221920^2 + 454832^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 999167 + ... + 1229054.

It is an arithmetic number, because the mean of its divisors is an integer number (14232768025).

Almost surely, 2256120634624 is an apocalyptic number.

It is an amenable number.

256120634624 is an abundant number, since it is smaller than the sum of its proper divisors (256259014276).

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

256120634624 is an equidigital number, since it uses as much as digits as its factorization.

256120634624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228686 (or 2228672 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 256120634624 in words is "two hundred fifty-six billion, one hundred twenty million, six hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 449 898 1796 3592 7184 14368 28736 57472 114944 2228221 4456442 8912884 17825768 35651536 71303072 142606144 285212288 570424576 1000471229 2000942458 4001884916 8003769832 16007539664 32015079328 64030158656 128060317312 256120634624