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256228502800 = 2452640571257
BaseRepresentation
bin1110111010100001101…
…0001010110100010000
3220111101000010120201011
43232220122022310100
513144223444042200
6313413150020304
724340403224024
oct3565032126420
9814330116634
10256228502800
1199736345626
12417aa4a7694
131b2155b15ca
14c589b02384
1569e9a3b5ba
hex3ba868ad10

256228502800 has 30 divisors (see below), whose sum is σ = 615588978938. Its totient is φ = 102491400960.

The previous prime is 256228502741. The next prime is 256228502861. The reversal of 256228502800 is 8205822652.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 21790483456 + 234438019344 = 147616^2 + 484188^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 320285229 + ... + 320286028.

Almost surely, 2256228502800 is an apocalyptic number.

256228502800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256228502800 is an abundant number, since it is smaller than the sum of its proper divisors (359360476138).

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

256228502800 is a wasteful number, since it uses less digits than its factorization.

256228502800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640571275 (or 640571264 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 256228502800 in words is "two hundred fifty-six billion, two hundred twenty-eight million, five hundred two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 640571257 1281142514 2562285028 3202856285 5124570056 6405712570 10249140112 12811425140 16014281425 25622850280 32028562850 51245700560 64057125700 128114251400 256228502800