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12630928817 = 139727736161
BaseRepresentation
bin10111100001101110…
…01010110110110001
31012121021022122222102
423300313022312301
5201332004210232
65445204350145
7625002060233
oct136067126661
935537278872
1012630928817
1153a1914851
1225460a5355
131263a9c0a0
1487b736253
154ddd4c662
hex2f0dcadb1

12630928817 has 16 divisors (see below), whose sum is σ = 13792765392. Its totient is φ = 11497144320.

The previous prime is 12630928769. The next prime is 12630928819. The reversal of 12630928817 is 71882903621.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 715241536 + 11915687281 = 26744^2 + 109159^2 .

It is a cyclic number.

It is not a de Polignac number, because 12630928817 - 212 = 12630924721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12630928819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331217 + ... + 367377.

It is an arithmetic number, because the mean of its divisors is an integer number (862047837).

Almost surely, 212630928817 is an apocalyptic number.

It is an amenable number.

12630928817 is a deficient number, since it is larger than the sum of its proper divisors (1161836575).

12630928817 is a wasteful number, since it uses less digits than its factorization.

12630928817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36548.

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 12630928817 in words is "twelve billion, six hundred thirty million, nine hundred twenty-eight thousand, eight hundred seventeen".

Divisors: 1 13 97 277 1261 3601 26869 36161 349297 470093 3507617 10016597 45599021 130215761 971609909 12630928817