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257887397071 is a prime number
BaseRepresentation
bin1111000000101101001…
…0010110010011001111
3220122122121122010211201
43300023102112103033
513211123133201241
6314245525530331
724426455464333
oct3601322262317
9818577563751
10257887397071
119a407792427
1241b91b739a7
131b41b197c55
14c6a61677c3
156a954c0931
hex3c0b4964cf

257887397071 has 2 divisors, whose sum is σ = 257887397072. Its totient is φ = 257887397070.

The previous prime is 257887397051. The next prime is 257887397077. The reversal of 257887397071 is 170793788752.

257887397071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257887397071 - 25 = 257887397039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257887396994 and 257887397012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257887397077) 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, 128943698535 + 128943698536.

It is an arithmetic number, because the mean of its divisors is an integer number (128943698536).

Almost surely, 2257887397071 is an apocalyptic number.

257887397071 is a deficient number, since it is larger than the sum of its proper divisors (1).

257887397071 is an equidigital number, since it uses as much as digits as its factorization.

257887397071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41489280, while the sum is 64.

The spelling of 257887397071 in words is "two hundred fifty-seven billion, eight hundred eighty-seven million, three hundred ninety-seven thousand, seventy-one".