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13920712653 = 319439155619
BaseRepresentation
bin11001111011011110…
…10011011111001101
31022221011021110210010
430331233103133031
5212002200301103
610221201103433
71001653051041
oct147557233715
938834243703
1013920712653
1159a3974501
122846027b79
13140b06aca3
14960b58021
155671c0903
hex33dbd37cd

13920712653 has 16 divisors (see below), whose sum is σ = 19542643200. Its totient is φ = 8789868720.

The previous prime is 13920712651. The next prime is 13920712669. The reversal of 13920712653 is 35621702931.

It is a happy number.

13920712653 is a nontrivial binomial coefficient, being equal to C(166858, 2).

It is not a de Polignac number, because 13920712653 - 21 = 13920712651 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13920712651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222478 + ... + 278096.

It is an arithmetic number, because the mean of its divisors is an integer number (1221415200).

Almost surely, 213920712653 is an apocalyptic number.

13920712653 is the 166857-th triangular number and also the 83429-th hexagonal number.

It is an amenable number.

13920712653 is a deficient number, since it is larger than the sum of its proper divisors (5621930547).

13920712653 is a wasteful number, since it uses less digits than its factorization.

13920712653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60032.

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 13920712653 in words is "thirteen billion, nine hundred twenty million, seven hundred twelve thousand, six hundred fifty-three".

Divisors: 1 3 19 57 4391 13173 55619 83429 166857 250287 1056761 3170283 244223029 732669087 4640237551 13920712653