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13742344979 = 112682916631
BaseRepresentation
bin11001100110001101…
…11000101100010011
31022110201122110022222
430303012320230103
5211121020014404
610151350051255
7664356001466
oct146306705423
938421573288
1013742344979
115912217200
1227b6349b2b
1313b011909c
149451a72dd
155566dadbe
hex3331b8b13

13742344979 has 12 divisors (see below), whose sum is σ = 15108342480. Its totient is φ = 12490460400.

The previous prime is 13742344963. The next prime is 13742345011. The reversal of 13742344979 is 97944324731.

It is a happy number.

13742344979 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13742344979 - 24 = 13742344963 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13742344979.

It is not an unprimeable number, because it can be changed into a prime (13742344939) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 817994 + ... + 834624.

It is an arithmetic number, because the mean of its divisors is an integer number (1259028540).

Almost surely, 213742344979 is an apocalyptic number.

13742344979 is a deficient number, since it is larger than the sum of its proper divisors (1365997501).

13742344979 is a wasteful number, since it uses less digits than its factorization.

13742344979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23482 (or 23471 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 53.

The spelling of 13742344979 in words is "thirteen billion, seven hundred forty-two million, three hundred forty-four thousand, nine hundred seventy-nine".

Divisors: 1 11 121 6829 16631 75119 182941 826309 2012351 113573099 1249304089 13742344979