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13079385040 = 245163492313
BaseRepresentation
bin11000010111001011…
…11001001111010000
31020202112011121021011
430023211321033100
5203241310310130
610001504340304
7642055636621
oct141345711720
936675147234
1013079385040
115601a76627
122650314694
1313059781b7
148c1111a48
155183d352a
hex30b9793d0

13079385040 has 20 divisors (see below), whose sum is σ = 30409570404. Its totient is φ = 5231753984.

The previous prime is 13079385023. The next prime is 13079385043. The reversal of 13079385040 is 4058397031.

13079385040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2407668624 + 10671716416 = 49068^2 + 103304^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13079384984 and 13079385002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13079385043) 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 3 ways as a sum of consecutive naturals, for example, 81746077 + ... + 81746236.

Almost surely, 213079385040 is an apocalyptic number.

13079385040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13079385040 is an abundant number, since it is smaller than the sum of its proper divisors (17330185364).

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

13079385040 is a wasteful number, since it uses less digits than its factorization.

13079385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163492326 (or 163492320 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 13079385040 in words is "thirteen billion, seventy-nine million, three hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163492313 326984626 653969252 817461565 1307938504 1634923130 2615877008 3269846260 6539692520 13079385040