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12661213194 = 23573151503
BaseRepresentation
bin10111100101010101…
…01100100000001010
31012200101022021100000
423302222230200022
5201412232310234
65452205423430
7625520352000
oct136252544012
935611267300
1012661213194
115407a19963
12255426ab76
13126a143636
1488177aa70
154e1830899
hex2f2aac80a

12661213194 has 192 divisors, whose sum is σ = 33462374400. Its totient is φ = 3586388400.

The previous prime is 12661213193. The next prime is 12661213249. The reversal of 12661213194 is 49131216621.

It is a happy number.

12661213194 is a `hidden beast` number, since 1 + 2 + 6 + 612 + 1 + 31 + 9 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (12661213193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25171147 + ... + 25171649.

It is an arithmetic number, because the mean of its divisors is an integer number (174283200).

Almost surely, 212661213194 is an apocalyptic number.

12661213194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12661213194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731187200).

12661213194 is an abundant number, since it is smaller than the sum of its proper divisors (20801161206).

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

12661213194 is an equidigital number, since it uses as much as digits as its factorization.

12661213194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 666 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 12661213194 in words is "twelve billion, six hundred sixty-one million, two hundred thirteen thousand, one hundred ninety-four".