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13738317409 is a prime number
BaseRepresentation
bin11001100101101111…
…00001011001100001
31022110110001211112201
430302313201121201
5211114002124114
610151123453201
7664306525345
oct146267413141
938413054481
1013738317409
11590aa16233
1227b4b27201
1313ac338acb
14944839625
15556192874
hex332de1661

13738317409 has 2 divisors, whose sum is σ = 13738317410. Its totient is φ = 13738317408.

The previous prime is 13738317401. The next prime is 13738317421. The reversal of 13738317409 is 90471383731.

13738317409 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., 12198539809 + 1539777600 = 110447^2 + 39240^2 .

It is a cyclic number.

It is not a de Polignac number, because 13738317409 - 23 = 13738317401 is a prime.

It is not a weakly prime, because it can be changed into another prime (13738317401) 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, 6869158704 + 6869158705.

It is an arithmetic number, because the mean of its divisors is an integer number (6869158705).

Almost surely, 213738317409 is an apocalyptic number.

It is an amenable number.

13738317409 is a deficient number, since it is larger than the sum of its proper divisors (1).

13738317409 is an equidigital number, since it uses as much as digits as its factorization.

13738317409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 13738317409 in words is "thirteen billion, seven hundred thirty-eight million, three hundred seventeen thousand, four hundred nine".