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257135682670 = 252367121713711
BaseRepresentation
bin1110111101111001111…
…0110010010001101110
3220120201020011002112121
43233132132302101232
513203103213321140
6314043154023154
724402030145216
oct3573636622156
9816636132477
10257135682670
119a061431259
1241a02277aba
131b32b520029
14c6343ab246
156a4e4d564a
hex3bde7b246e

257135682670 has 64 divisors (see below), whose sum is σ = 490614921216. Its totient is φ = 96827258880.

The previous prime is 257135682667. The next prime is 257135682707. The reversal of 257135682670 is 76286531752.

It is a happy number.

257135682670 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2571356826702 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18747115 + ... + 18760825.

It is an arithmetic number, because the mean of its divisors is an integer number (7665858144).

Almost surely, 2257135682670 is an apocalyptic number.

257135682670 is a deficient number, since it is larger than the sum of its proper divisors (233479238546).

257135682670 is a wasteful number, since it uses less digits than its factorization.

257135682670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15025.

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 257135682670 in words is "two hundred fifty-seven billion, one hundred thirty-five million, six hundred eighty-two thousand, six hundred seventy".

Divisors: 1 2 5 10 23 46 67 115 134 230 335 670 1217 1541 2434 3082 6085 7705 12170 13711 15410 27422 27991 55982 68555 81539 137110 139955 163078 279910 315353 407695 630706 815390 918637 1576765 1837274 1875397 3153530 3750794 4593185 9186370 9376985 16686287 18753970 21128651 33372574 42257302 83431435 105643255 166862870 211286510 383784601 767569202 1117981229 1918923005 2235962458 3837846010 5589906145 11179812290 25713568267 51427136534 128567841335 257135682670