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257068977421 is a prime number
BaseRepresentation
bin1110111101101010000…
…0010100110100001101
3220120112120122010010211
43233122200110310031
513202434124234141
6314032412202421
724400260153244
oct3573240246415
9816476563124
10257068977421
119a027810653
12419a3a69411
131b31a766079
14c6295a595b
156a4870ad81
hex3bda814d0d

257068977421 has 2 divisors, whose sum is σ = 257068977422. Its totient is φ = 257068977420.

The previous prime is 257068977397. The next prime is 257068977527. The reversal of 257068977421 is 124779860752.

257068977421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150554864196 + 106514113225 = 388014^2 + 326365^2 .

It is a cyclic number.

It is not a de Polignac number, because 257068977421 - 29 = 257068976909 is a prime.

It is a super-2 number, since 2×2570689774212 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257068917421) 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 as a sum of consecutive naturals, namely, 128534488710 + 128534488711.

It is an arithmetic number, because the mean of its divisors is an integer number (128534488711).

Almost surely, 2257068977421 is an apocalyptic number.

It is an amenable number.

257068977421 is a deficient number, since it is larger than the sum of its proper divisors (1).

257068977421 is an equidigital number, since it uses as much as digits as its factorization.

257068977421 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11854080, while the sum is 58.

The spelling of 257068977421 in words is "two hundred fifty-seven billion, sixty-eight million, nine hundred seventy-seven thousand, four hundred twenty-one".