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12667607211 = 371931748389
BaseRepresentation
bin10111100110000110…
…00101100010101011
31012200211100010021110
423303003011202223
5201420401412321
65452554441403
7625625612310
oct136303054253
935624303243
1012667607211
115410596876
122556433263
13126b571a8c
14882562d07
154e2195176
hex2f30c58ab

12667607211 has 16 divisors (see below), whose sum is σ = 20318969600. Its totient is φ = 6857651808.

The previous prime is 12667607209. The next prime is 12667607219. The reversal of 12667607211 is 11270676621.

12667607211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12667607211 - 21 = 12667607209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12667607211.

It is not an unprimeable number, because it can be changed into a prime (12667607219) 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, 15873796 + ... + 15874593.

It is an arithmetic number, because the mean of its divisors is an integer number (1269935600).

Almost surely, 212667607211 is an apocalyptic number.

12667607211 is a deficient number, since it is larger than the sum of its proper divisors (7651362389).

12667607211 is a wasteful number, since it uses less digits than its factorization.

12667607211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31748418.

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 12667607211 in words is "twelve billion, six hundred sixty-seven million, six hundred seven thousand, two hundred eleven".

Divisors: 1 3 7 19 21 57 133 399 31748389 95245167 222238723 603219391 666716169 1809658173 4222535737 12667607211