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12604313376 = 253243764977
BaseRepresentation
bin10111011110100011…
…01000111100100000
31012112102020110110100
423233101220330200
5201303201012001
65442414102400
7624226616214
oct135721507440
935472213410
1012604313376
115388896216
1225391aaa00
13125b4107c5
14877da8944
154db841586
hex2ef468f20

12604313376 has 36 divisors (see below), whose sum is σ = 35843516982. Its totient is φ = 4201437696.

The previous prime is 12604313353. The next prime is 12604313387. The reversal of 12604313376 is 67331340621.

12604313376 is a `hidden beast` number, since 1 + 2 + 604 + 3 + 13 + 37 + 6 = 666.

12604313376 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 only one way, i.e., 9908211600 + 2696101776 = 99540^2 + 51924^2 .

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12604313376.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 21882201 + ... + 21882776.

Almost surely, 212604313376 is an apocalyptic number.

12604313376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12604313376 is an abundant number, since it is smaller than the sum of its proper divisors (23239203606).

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

12604313376 is a wasteful number, since it uses less digits than its factorization.

12604313376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43764993 (or 43764982 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 12604313376 its reverse (67331340621), we get a palindrome (79935653997).

The spelling of 12604313376 in words is "twelve billion, six hundred four million, three hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 43764977 87529954 131294931 175059908 262589862 350119816 393884793 525179724 700239632 787769586 1050359448 1400479264 1575539172 2100718896 3151078344 4201437792 6302156688 12604313376