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12779315256 = 2333141418939
BaseRepresentation
bin10111110011011010…
…01110000000111000
31012222121112110220110
423321231032000320
5202133001042011
65512025024320
7631453246611
oct137155160070
935877473813
1012779315256
115468654774
1225879250a0
131288754706
14893320c08
154ebdadba6
hex2f9b4e038

12779315256 has 64 divisors (see below), whose sum is σ = 33783321600. Its totient is φ = 4021804800.

The previous prime is 12779315251. The next prime is 12779315257. The reversal of 12779315256 is 65251397721.

12779315256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12779315251) 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 15 ways as a sum of consecutive naturals, for example, 178966 + ... + 239973.

It is an arithmetic number, because the mean of its divisors is an integer number (527864400).

Almost surely, 212779315256 is an apocalyptic number.

It is an amenable number.

12779315256 is an abundant number, since it is smaller than the sum of its proper divisors (21004006344).

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

12779315256 is a wasteful number, since it uses less digits than its factorization.

12779315256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419020 (or 419016 counting only the distinct ones).

The product of its digits is 793800, while the sum is 48.

The spelling of 12779315256 in words is "twelve billion, seven hundred seventy-nine million, three hundred fifteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 186 246 248 328 372 492 744 984 1271 2542 3813 5084 7626 10168 15252 30504 418939 837878 1256817 1675756 2513634 3351512 5027268 10054536 12987109 17176499 25974218 34352998 38961327 51529497 51948436 68705996 77922654 103058994 103896872 137411992 155845308 206117988 311690616 412235976 532471469 1064942938 1597414407 2129885876 3194828814 4259771752 6389657628 12779315256