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12682696256 = 26601329729
BaseRepresentation
bin10111100111111001…
…01001011001000000
31012201212201201112222
423303330221121000
5201433232240011
65454254110212
7626201065556
oct136374513100
935655651488
1012682696256
11541906245a
12255b4ab368
131271725ac9
1488456dbd6
154e3675ddb
hex2f3f29640

12682696256 has 28 divisors (see below), whose sum is σ = 25209177420. Its totient is φ = 6330777600.

The previous prime is 12682696253. The next prime is 12682696277. The reversal of 12682696256 is 65269628621.

12682696256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10493953600 + 2188742656 = 102440^2 + 46784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12682696198 and 12682696207.

It is not an unprimeable number, because it can be changed into a prime (12682696253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126401 + ... + 203328.

It is an arithmetic number, because the mean of its divisors is an integer number (900327765).

Almost surely, 212682696256 is an apocalyptic number.

12682696256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12682696256 is a deficient number, since it is larger than the sum of its proper divisors (12526481164).

12682696256 is an equidigital number, since it uses as much as digits as its factorization.

12682696256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330342 (or 330332 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 53.

The spelling of 12682696256 in words is "twelve billion, six hundred eighty-two million, six hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 601 1202 2404 4808 9616 19232 38464 329729 659458 1318916 2637832 5275664 10551328 21102656 198167129 396334258 792668516 1585337032 3170674064 6341348128 12682696256