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13005299079 = 322131678101
BaseRepresentation
bin11000001110010110…
…10001110110000111
31020120100202122102200
430013023101312013
5203113324032304
65550300405543
7640166134563
oct140713216607
936510678380
1013005299079
115574174763
12262b5468b3
1312c3508956
148b53486a3
15511b4be39
hex3072d1d87

13005299079 has 12 divisors (see below), whose sum is σ = 18794275032. Its totient is φ = 8666118000.

The previous prime is 13005299063. The next prime is 13005299089. The reversal of 13005299079 is 97099250031.

It is a happy number.

13005299079 is a `hidden beast` number, since 1 + 30 + 0 + 529 + 90 + 7 + 9 = 666.

13005299079 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 13005299079 - 24 = 13005299063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005299089) 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, 319872 + ... + 358229.

It is an arithmetic number, because the mean of its divisors is an integer number (1566189586).

Almost surely, 213005299079 is an apocalyptic number.

13005299079 is a deficient number, since it is larger than the sum of its proper divisors (5788975953).

13005299079 is a wasteful number, since it uses less digits than its factorization.

13005299079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680238 (or 680235 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 13005299079 in words is "thirteen billion, five million, two hundred ninety-nine thousand, seventy-nine".

Divisors: 1 3 9 2131 6393 19179 678101 2034303 6102909 1445033231 4335099693 13005299079