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257315000475114 = 23329315300436709
BaseRepresentation
bin111010100000011011010001…
…001100101101110111101010
31020202002001222210201102021000
4322200123101030231313222
5232211322110110200424
62311132513533455430
7105125252405130231
oct7240332114556752
91222061883642230
10257315000475114
1174a96751641a4a
1224a39455041576
13b076914ac044a
1447781808b1b18
151eb35489673c9
hexea06d132ddea

257315000475114 has 64 divisors (see below), whose sum is σ = 610610308992000. Its totient is φ = 80142603024960.

The previous prime is 257315000475073. The next prime is 257315000475217. The reversal of 257315000475114 is 411574000513752.

257315000475114 is a `hidden beast` number, since 2 + 5 + 73 + 1 + 500 + 0 + 4 + 75 + 1 + 1 + 4 = 666.

It is a super-2 number, since 2×2573150004751142 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 257315000475114.

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, 2650169809 + ... + 2650266900.

It is an arithmetic number, because the mean of its divisors is an integer number (9540786078000).

Almost surely, 2257315000475114 is an apocalyptic number.

257315000475114 is an abundant number, since it is smaller than the sum of its proper divisors (353295308516886).

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

257315000475114 is a wasteful number, since it uses less digits than its factorization.

257315000475114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300436780 (or 5300436774 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

Adding to 257315000475114 its reverse (411574000513752), we get a palindrome (668889000988866).

The spelling of 257315000475114 in words is "two hundred fifty-seven trillion, three hundred fifteen billion, four hundred seventy-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 87 93 174 186 261 279 522 558 783 837 899 1566 1674 1798 2697 5394 8091 16182 24273 48546 5300436709 10600873418 15901310127 31802620254 47703930381 95407860762 143111791143 153712664561 164313537979 286223582286 307425329122 328627075958 461137993683 492940613937 922275987366 985881227874 1383413981049 1478821841811 2766827962098 2957643683622 4150241943147 4436465525433 4765092601391 8300483886294 8872931050866 9530185202782 14295277804173 28590555608346 42885833412519 85771666825038 128657500237557 257315000475114