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257345662545 = 34519165720183
BaseRepresentation
bin1110111110101011111…
…1110010111001010001
3220121020212021011210000
43233222333302321101
513204020442200140
6314120054400213
724410160016356
oct3575277627121
9817225234700
10257345662545
119a159a10244
1241a60660069
131b362b8c98a
14c65422a62d
156a62b61a30
hex3beaff2e51

257345662545 has 80 divisors (see below), whose sum is σ = 485912845440. Its totient is φ = 129942372096.

The previous prime is 257345662531. The next prime is 257345662579. The reversal of 257345662545 is 545266543752.

257345662545 is a `hidden beast` number, since 2 + 5 + 7 + 3 + 4 + 5 + 6 + 625 + 4 + 5 = 666.

It is not a de Polignac number, because 257345662545 - 25 = 257345662513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257345662491 and 257345662500.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12740524 + ... + 12760706.

It is an arithmetic number, because the mean of its divisors is an integer number (6073910568).

Almost surely, 2257345662545 is an apocalyptic number.

It is an amenable number.

257345662545 is a deficient number, since it is larger than the sum of its proper divisors (228567182895).

257345662545 is a wasteful number, since it uses less digits than its factorization.

257345662545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21876 (or 21867 counting only the distinct ones).

The product of its digits is 30240000, while the sum is 54.

The spelling of 257345662545 in words is "two hundred fifty-seven billion, three hundred forty-five million, six hundred sixty-two thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 405 513 855 1539 1657 2565 4971 7695 8285 14913 20183 24855 31483 44739 60549 74565 94449 100915 134217 157415 181647 223695 283347 302745 383477 472245 544941 671085 850041 908235 1150431 1416735 1634823 1917385 2550123 2724705 3451293 4250205 5752155 8174115 10353879 12750615 17256465 31061637 33443231 51769395 100329693 155308185 167216155 300989079 501648465 635421389 902967237 1504945395 1906264167 2708901711 3177106945 4514836185 5718792501 9531320835 13544508555 17156377503 28593962505 51469132509 85781887515 257345662545