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12641640612 = 2231053470051
BaseRepresentation
bin10111100011000000…
…00010000010100100
31012122000110212210120
423301200002002210
5201342224444422
65450230121540
7625162113036
oct136140020244
935560425716
1012641640612
1153a7970777
1225497b02b0
13126607c923
1487cd23c56
154dec6645c
hex2f18020a4

12641640612 has 12 divisors (see below), whose sum is σ = 29497161456. Its totient is φ = 4213880200.

The previous prime is 12641640587. The next prime is 12641640617. The reversal of 12641640612 is 21604614621.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×126416406123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12641640617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 526735014 + ... + 526735037.

It is an arithmetic number, because the mean of its divisors is an integer number (2458096788).

Almost surely, 212641640612 is an apocalyptic number.

12641640612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12641640612 is an abundant number, since it is smaller than the sum of its proper divisors (16855520844).

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

12641640612 is a wasteful number, since it uses less digits than its factorization.

12641640612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053470058 (or 1053470056 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 12641640612 in words is "twelve billion, six hundred forty-one million, six hundred forty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 1053470051 2106940102 3160410153 4213880204 6320820306 12641640612