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257382270656 = 2671761754773
BaseRepresentation
bin1110111110110100101…
…1011100011011000000
3220121100102011001122222
43233231023130123000
513204104330130111
6314123443150212
724411113126510
oct3575513343300
9817312131588
10257382270656
119a178644485
1241a70975368
131b36a639694
14c659039840
156a65e937db
hex3bed2dc6c0

257382270656 has 112 divisors (see below), whose sum is σ = 619054871616. Its totient is φ = 103647903744.

The previous prime is 257382270647. The next prime is 257382270671. The reversal of 257382270656 is 656072283752.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 257382270598 and 257382270607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4671686 + ... + 4726458.

Almost surely, 2257382270656 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 257382270656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309527435808).

257382270656 is an abundant number, since it is smaller than the sum of its proper divisors (361672600960).

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

257382270656 is a wasteful number, since it uses less digits than its factorization.

257382270656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55426 (or 55416 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 53.

The spelling of 257382270656 in words is "two hundred fifty-seven billion, three hundred eighty-two million, two hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 617 952 1088 1234 1904 2468 3808 4319 4936 7616 8638 9872 10489 17276 19744 20978 34552 39488 41956 54773 69104 73423 83912 109546 138208 146846 167824 219092 276416 293692 335648 383411 438184 587384 671296 766822 876368 931141 1174768 1533644 1752736 1862282 2349536 3067288 3505472 3724564 4699072 6134576 6517987 7449128 12269152 13035974 14898256 24538304 26071948 29796512 33794941 52143896 59593024 67589882 104287792 135179764 208575584 236564587 270359528 417151168 473129174 540719056 574513997 946258348 1081438112 1149027994 1892516696 2162876224 2298055988 3785033392 4021597979 4596111976 7570066784 8043195958 9192223952 15140133568 16086391916 18384447904 32172783832 36768895808 64345567664 128691135328 257382270656