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13387437409 is a prime number
BaseRepresentation
bin11000111011111010…
…00001010101100001
31021112222211021200011
430131331001111201
5204404140444114
610052231124521
7652516224523
oct143575012541
937488737604
1013387437409
11574a94a965
122717513741
1313547351c8
1490ddbda13
155354831c4
hex31df41561

13387437409 has 2 divisors, whose sum is σ = 13387437410. Its totient is φ = 13387437408.

The previous prime is 13387437353. The next prime is 13387437439. The reversal of 13387437409 is 90473478331.

13387437409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10589027409 + 2798410000 = 102903^2 + 52900^2 .

It is a cyclic number.

It is not a de Polignac number, because 13387437409 - 27 = 13387437281 is a prime.

It is not a weakly prime, because it can be changed into another prime (13387437439) 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, 6693718704 + 6693718705.

It is an arithmetic number, because the mean of its divisors is an integer number (6693718705).

Almost surely, 213387437409 is an apocalyptic number.

It is an amenable number.

13387437409 is a deficient number, since it is larger than the sum of its proper divisors (1).

13387437409 is an equidigital number, since it uses as much as digits as its factorization.

13387437409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 13387437409 in words is "thirteen billion, three hundred eighty-seven million, four hundred thirty-seven thousand, four hundred nine".