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13006335268 = 224217723477
BaseRepresentation
bin11000001110011110…
…01110110100100100
31020120102201021211001
430013033032310210
5203114110212033
65550334523044
7640211011543
oct140717166444
936512637731
1013006335268
115574812213
12262b966484
1312c37ac494
148b553815a
15511ca3e7d
hex3073ced24

13006335268 has 12 divisors (see below), whose sum is σ = 22815154012. Its totient is φ = 6487719840.

The previous prime is 13006335253. The next prime is 13006335301. The reversal of 13006335268 is 86253360031.

It is a happy number.

13006335268 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 886967524 + 12119367744 = 29782^2 + 110088^2 .

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 3 ways as a sum of consecutive naturals, for example, 3860055 + ... + 3863422.

Almost surely, 213006335268 is an apocalyptic number.

It is an amenable number.

13006335268 is a deficient number, since it is larger than the sum of its proper divisors (9808818744).

13006335268 is a wasteful number, since it uses less digits than its factorization.

13006335268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7723902 (or 7723900 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

Adding to 13006335268 its reverse (86253360031), we get a palindrome (99259695299).

The spelling of 13006335268 in words is "thirteen billion, six million, three hundred thirty-five thousand, two hundred sixty-eight".

Divisors: 1 2 4 421 842 1684 7723477 15446954 30893908 3251583817 6503167634 13006335268