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12164644260 = 2233522527119
BaseRepresentation
bin10110101010001000…
…11011110110100100
31011101202220221211000
423111010123312210
5144403122104020
65331030313300
7610310525106
oct132504336644
934352827730
1012164644260
11518269630a
122435ab8830
1311bb2c0172
14835839576
154b2e44090
hex2d511bda4

12164644260 has 48 divisors (see below), whose sum is σ = 37845561600. Its totient is φ = 3243904992.

The previous prime is 12164644259. The next prime is 12164644273. The reversal of 12164644260 is 6244646121.

12164644260 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 4 + 644 + 2 + 6 + 0 = 666.

12164644260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 11263020 + ... + 11264099.

It is an arithmetic number, because the mean of its divisors is an integer number (788449200).

Almost surely, 212164644260 is an apocalyptic number.

12164644260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12164644260 is an abundant number, since it is smaller than the sum of its proper divisors (25680917340).

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

12164644260 is a wasteful number, since it uses less digits than its factorization.

12164644260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22527137 (or 22527129 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12164644260 in words is "twelve billion, one hundred sixty-four million, six hundred forty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 22527119 45054238 67581357 90108476 112635595 135162714 202744071 225271190 270325428 337906785 405488142 450542380 608232213 675813570 810976284 1013720355 1216464426 1351627140 2027440710 2432928852 3041161065 4054881420 6082322130 12164644260