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257539513344 = 2103431949639
BaseRepresentation
bin1110111111011010001…
…1010001110000000000
3220121202101000211002020
43233312203101300000
513204420103411334
6314151221321440
724415032513141
oct3576643216000
9817671024066
10257539513344
119a249383213
1241ab5566280
131b3940a30a9
14c671c8bac8
156a74ba3e49
hex3bf68d1c00

257539513344 has 88 divisors (see below), whose sum is σ = 702400702080. Its totient is φ = 83850031104.

The previous prime is 257539513331. The next prime is 257539513373. The reversal of 257539513344 is 443315935752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 842724 + ... + 1106915.

It is an arithmetic number, because the mean of its divisors is an integer number (7981826160).

Almost surely, 2257539513344 is an apocalyptic number.

257539513344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257539513344 is an abundant number, since it is smaller than the sum of its proper divisors (444861188736).

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

257539513344 is a wasteful number, since it uses less digits than its factorization.

257539513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949705 (or 1949687 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 51.

The spelling of 257539513344 in words is "two hundred fifty-seven billion, five hundred thirty-nine million, five hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2064 2752 3072 4128 5504 8256 11008 16512 22016 33024 44032 66048 132096 1949639 3899278 5848917 7798556 11697834 15597112 23395668 31194224 46791336 62388448 83834477 93582672 124776896 167668954 187165344 249553792 251503431 335337908 374330688 499107584 503006862 670675816 748661376 998215168 1006013724 1341351632 1497322752 1996430336 2012027448 2682703264 2994645504 4024054896 5365406528 5989291008 8048109792 10730813056 16096219584 21461626112 32192439168 42923252224 64384878336 85846504448 128769756672 257539513344