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12896185185 = 3251322044761
BaseRepresentation
bin11000000001010110…
…00010101101100001
31020021202110002022100
430000223002231201
5202402410411220
65531402001013
7634402523352
oct140053025541
936252402270
1012896185185
115518618894
1225baaa6169
1312a6a23a10
148a4a63d29
15507296d90
hex300ac2b61

12896185185 has 24 divisors (see below), whose sum is σ = 24072880104. Its totient is φ = 6348890880.

The previous prime is 12896185177. The next prime is 12896185201. The reversal of 12896185185 is 58158169821.

12896185185 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 618 + 5 + 18 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88962624 + 12807222561 = 9432^2 + 113169^2 .

It is not a de Polignac number, because 12896185185 - 23 = 12896185177 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11021796 + ... + 11022965.

It is an arithmetic number, because the mean of its divisors is an integer number (1003036671).

Almost surely, 212896185185 is an apocalyptic number.

12896185185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12896185185 is a deficient number, since it is larger than the sum of its proper divisors (11176694919).

12896185185 is a wasteful number, since it uses less digits than its factorization.

12896185185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22044785 (or 22044782 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 54.

The spelling of 12896185185 in words is "twelve billion, eight hundred ninety-six million, one hundred eighty-five thousand, one hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 22044761 66134283 110223805 198402849 286581893 330671415 859745679 992014245 1432909465 2579237037 4298728395 12896185185