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257435055361 = 1122127562441
BaseRepresentation
bin1110111111000001010…
…0110011010100000001
3220121111002110210200001
43233300110303110001
513204211333232421
6314133010400001
724412323603001
oct3576024632401
9817432423601
10257435055361
119a1a5417400
1241a86590001
131b37855b433
14c66205a001
156a6a91d691
hex3bf0533501

257435055361 has 6 divisors (see below), whose sum is σ = 282965804786. Its totient is φ = 234031868400.

The previous prime is 257435055343. The next prime is 257435055413. The reversal of 257435055361 is 163550534752.

It can be written as a sum of positive squares in only one way, i.e., 254968443136 + 2466612225 = 504944^2 + 49665^2 .

It is not a de Polignac number, because 257435055361 - 25 = 257435055329 is a prime.

It is a super-2 number, since 2×2574350553612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257435055961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1063781100 + ... + 1063781341.

Almost surely, 2257435055361 is an apocalyptic number.

It is an amenable number.

257435055361 is a deficient number, since it is larger than the sum of its proper divisors (25530749425).

257435055361 is a wasteful number, since it uses less digits than its factorization.

257435055361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127562463 (or 2127562452 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 46.

The spelling of 257435055361 in words is "two hundred fifty-seven billion, four hundred thirty-five million, fifty-five thousand, three hundred sixty-one".

Divisors: 1 11 121 2127562441 23403186851 257435055361