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13006000714 = 272896914797
BaseRepresentation
bin11000001110011011…
…11101001001001010
31020120102002021220011
430013031331021022
5203114014010324
65550323422134
7640205116300
oct140715751112
936512067804
1013006000714
115574603923
12262b82494a
1312c36c3115
148b548c270
15511c39c94
hex30737d24a

13006000714 has 24 divisors (see below), whose sum is σ = 22698208260. Its totient is φ = 5573002176.

The previous prime is 13006000703. The next prime is 13006000723. The reversal of 13006000714 is 41700060031.

13006000714 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 12969337689 + 36663025 = 113883^2 + 6055^2 .

It is an unprimeable number.

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, 871564 + ... + 886360.

Almost surely, 213006000714 is an apocalyptic number.

13006000714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13006000714 is a deficient number, since it is larger than the sum of its proper divisors (9692207546).

13006000714 is a wasteful number, since it uses less digits than its factorization.

13006000714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23782 (or 23775 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 13006000714 its reverse (41700060031), we get a palindrome (54706060745).

The spelling of 13006000714 in words is "thirteen billion, six million, seven hundred fourteen", and thus it is an aban number.

Divisors: 1 2 7 14 49 98 8969 14797 17938 29594 62783 103579 125566 207158 439481 725053 878962 1450106 132714293 265428586 929000051 1858000102 6503000357 13006000714