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256253047129 is a prime number
BaseRepresentation
bin1110111010100111011…
…1110011000101011001
3220111102201022120012101
43232221313303011121
513144301240002004
6313415424043401
724341121650602
oct3565167630531
9814381276171
10256253047129
119974918a0a2
12417b6763561
131b21a6c6291
14c58d090da9
1569ebc88ba4
hex3ba9df3159

256253047129 has 2 divisors, whose sum is σ = 256253047130. Its totient is φ = 256253047128.

The previous prime is 256253047111. The next prime is 256253047157. The reversal of 256253047129 is 921740352652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 237695251600 + 18557795529 = 487540^2 + 136227^2 .

It is a cyclic number.

It is not a de Polignac number, because 256253047129 - 217 = 256252916057 is a prime.

It is not a weakly prime, because it can be changed into another prime (256253047189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128126523564 + 128126523565.

It is an arithmetic number, because the mean of its divisors is an integer number (128126523565).

Almost surely, 2256253047129 is an apocalyptic number.

It is an amenable number.

256253047129 is a deficient number, since it is larger than the sum of its proper divisors (1).

256253047129 is an equidigital number, since it uses as much as digits as its factorization.

256253047129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 256253047129 in words is "two hundred fifty-six billion, two hundred fifty-three million, forty-seven thousand, one hundred twenty-nine".