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12823359104 = 27601166693
BaseRepresentation
bin10111111000101010…
…01110111010000000
31020002200102010201002
423330111032322000
5202230234442404
65520241031132
7632526516413
oct137425167200
936080363632
1012823359104
1154904a7546
12259a6254a8
131294905a6a
14899107b7a
15500badc1e
hex2fc54ee80

12823359104 has 32 divisors (see below), whose sum is σ = 25589195940. Its totient is φ = 6400972800.

The previous prime is 12823359077. The next prime is 12823359139. The reversal of 12823359104 is 40195332821.

12823359104 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 12823297600 + 61504 = 113240^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 6419 + ... + 160274.

Almost surely, 212823359104 is an apocalyptic number.

It is an amenable number.

12823359104 is a deficient number, since it is larger than the sum of its proper divisors (12765836836).

12823359104 is an equidigital number, since it uses as much as digits as its factorization.

12823359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167308 (or 167296 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 12823359104 in words is "twelve billion, eight hundred twenty-three million, three hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 601 1202 2404 4808 9616 19232 38464 76928 166693 333386 666772 1333544 2667088 5334176 10668352 21336704 100182493 200364986 400729972 801459944 1602919888 3205839776 6411679552 12823359104