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257112634096 = 2441391939991
BaseRepresentation
bin1110111101110100011…
…0110111001011110000
3220120122121210002211201
43233131012313023300
513203031313242341
6314041012020544
724401330221213
oct3573506671360
9816577702751
10257112634096
119a04a41954a
12419b6601754
131b326810116
14c6312cb77a
156a4c481331
hex3bdd1b72f0

257112634096 has 20 divisors (see below), whose sum is σ = 510305869584. Its totient is φ = 125420796800.

The previous prime is 257112634091. The next prime is 257112634133. The reversal of 257112634096 is 690436211752.

It is a happy number.

It is a super-2 number, since 2×2571126340962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257112634091) 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 in 3 ways as a sum of consecutive naturals, for example, 195969340 + ... + 195970651.

Almost surely, 2257112634096 is an apocalyptic number.

It is an amenable number.

257112634096 is a deficient number, since it is larger than the sum of its proper divisors (253193235488).

257112634096 is a wasteful number, since it uses less digits than its factorization.

257112634096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391940040 (or 391940034 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 257112634096 in words is "two hundred fifty-seven billion, one hundred twelve million, six hundred thirty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 41 82 164 328 656 391939991 783879982 1567759964 3135519928 6271039856 16069539631 32139079262 64278158524 128556317048 257112634096