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12192768006 = 237092866189
BaseRepresentation
bin10110101101011111…
…01110000000000110
31011110201211210100020
423112233232000012
5144432322034011
65333513200010
7611101550406
oct132657560006
934421753306
1012192768006
115197555081
122443400006
1311c4089133
1483947a806
154b564c006
hex2d6bee006

12192768006 has 16 divisors (see below), whose sum is σ = 24419938800. Its totient is φ = 4058522208.

The previous prime is 12192767971. The next prime is 12192768011. The reversal of 12192768006 is 60086729121.

12192768006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1428841 + ... + 1437348.

It is an arithmetic number, because the mean of its divisors is an integer number (1526246175).

Almost surely, 212192768006 is an apocalyptic number.

12192768006 is an abundant number, since it is smaller than the sum of its proper divisors (12227170794).

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

12192768006 is a wasteful number, since it uses less digits than its factorization.

12192768006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866903.

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 12192768006 in words is "twelve billion, one hundred ninety-two million, seven hundred sixty-eight thousand, six".

Divisors: 1 2 3 6 709 1418 2127 4254 2866189 5732378 8598567 17197134 2032128001 4064256002 6096384003 12192768006