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13759479697 is a prime number
BaseRepresentation
bin11001101000010000…
…01111111110010001
31022111220212222202011
430310020033332101
5211134411322242
610153201222521
7664654435105
oct146410177621
938456788664
1013759479697
11592095a827
122800031a41
1313b3838282
14947587905
15557e72d17
hex33420ff91

13759479697 has 2 divisors, whose sum is σ = 13759479698. Its totient is φ = 13759479696.

The previous prime is 13759479677. The next prime is 13759479733. The reversal of 13759479697 is 79697495731.

13759479697 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13567823361 + 191656336 = 116481^2 + 13844^2 .

It is a cyclic number.

It is not a de Polignac number, because 13759479697 - 211 = 13759477649 is a prime.

It is a super-3 number, since 3×137594796973 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13759479667) 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 as a sum of consecutive naturals, namely, 6879739848 + 6879739849.

It is an arithmetic number, because the mean of its divisors is an integer number (6879739849).

Almost surely, 213759479697 is an apocalyptic number.

It is an amenable number.

13759479697 is a deficient number, since it is larger than the sum of its proper divisors (1).

13759479697 is an equidigital number, since it uses as much as digits as its factorization.

13759479697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90016920, while the sum is 67.

The spelling of 13759479697 in words is "thirteen billion, seven hundred fifty-nine million, four hundred seventy-nine thousand, six hundred ninety-seven".