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257136770296 = 23759193403243
BaseRepresentation
bin1110111101111010001…
…0111011110011111000
3220120201022012100111001
43233132202323303320
513203104003122141
6314043233214344
724402042325150
oct3573642736370
9816638170431
10257136770296
119a06200441a
1241a027013b4
131b32b8110b3
14c6345b1760
156a4e64ca31
hex3bde8bbcf8

257136770296 has 64 divisors (see below), whose sum is σ = 563251219200. Its totient is φ = 107772069888.

The previous prime is 257136770287. The next prime is 257136770299. The reversal of 257136770296 is 692077631752.

It is a super-2 number, since 2×2571367702962 (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 (257136770299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436051 + ... + 839293.

It is an arithmetic number, because the mean of its divisors is an integer number (8800800300).

Almost surely, 2257136770296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257136770296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281625609600).

257136770296 is an abundant number, since it is smaller than the sum of its proper divisors (306114448904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257136770296 is a wasteful number, since it uses less digits than its factorization.

257136770296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403508 (or 403504 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 55.

The spelling of 257136770296 in words is "two hundred fifty-seven billion, one hundred thirty-six million, seven hundred seventy thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 56 59 118 193 236 386 413 472 772 826 1351 1544 1652 2702 3304 5404 10808 11387 22774 45548 79709 91096 159418 318836 403243 637672 806486 1612972 2822701 3225944 5645402 11290804 22581608 23791337 47582674 77825899 95165348 155651798 166539359 190330696 311303596 333078718 544781293 622607192 666157436 1089562586 1332314872 2179125172 4358250344 4591728041 9183456082 18366912164 32142096287 36733824328 64284192574 128568385148 257136770296