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12826464660 = 2232571258137
BaseRepresentation
bin10111111001000010…
…00101000110010100
31020002220020220201200
423330201011012110
5202232033332120
65520431352500
7632565102462
oct137441050624
936086226650
1012826464660
115492228819
12259b682730
131295452479
148996b5832
155010c3e90
hex2fc845194

12826464660 has 36 divisors (see below), whose sum is σ = 38906943348. Its totient is φ = 3420390528.

The previous prime is 12826464593. The next prime is 12826464701. The reversal of 12826464660 is 6646462821.

12826464660 is a `hidden beast` number, since 128 + 2 + 6 + 464 + 6 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3380957316 + 9445507344 = 58146^2 + 97188^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35628889 + ... + 35629248.

Almost surely, 212826464660 is an apocalyptic number.

12826464660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12826464660 is an abundant number, since it is smaller than the sum of its proper divisors (26080478688).

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

12826464660 is a wasteful number, since it uses less digits than its factorization.

12826464660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71258152 (or 71258147 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 12826464660 in words is "twelve billion, eight hundred twenty-six million, four hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 71258137 142516274 213774411 285032548 356290685 427548822 641323233 712581370 855097644 1068872055 1282646466 1425162740 2137744110 2565292932 3206616165 4275488220 6413232330 12826464660