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257939224889 is a prime number
BaseRepresentation
bin1111000000111001100…
…0000011100100111001
3220122210020011021020112
43300032120003210321
513211224420144024
6314255020434105
724430655144003
oct3601630034471
9818706137215
10257939224889
119a433a71435
1241ba73a8935
131b428b432b8
14c6acdb9373
156a99d0c00e
hex3c0e603939

257939224889 has 2 divisors, whose sum is σ = 257939224890. Its totient is φ = 257939224888.

The previous prime is 257939224883. The next prime is 257939224987. The reversal of 257939224889 is 988422939752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181810137664 + 76129087225 = 426392^2 + 275915^2 .

It is a cyclic number.

It is not a de Polignac number, because 257939224889 - 28 = 257939224633 is a prime.

It is not a weakly prime, because it can be changed into another prime (257939224883) by changing a digit.

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 as a sum of consecutive naturals, namely, 128969612444 + 128969612445.

It is an arithmetic number, because the mean of its divisors is an integer number (128969612445).

Almost surely, 2257939224889 is an apocalyptic number.

It is an amenable number.

257939224889 is a deficient number, since it is larger than the sum of its proper divisors (1).

257939224889 is an equidigital number, since it uses as much as digits as its factorization.

257939224889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 156764160, while the sum is 68.

The spelling of 257939224889 in words is "two hundred fifty-seven billion, nine hundred thirty-nine million, two hundred twenty-four thousand, eight hundred eighty-nine".