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13829329716379 is a prime number
BaseRepresentation
bin1100100100111110010001…
…0010010000010010011011
31210222001220202200020100221
43021033210102100102123
53303034431401411004
645225034550340511
72625064453025542
oct311174422202233
953861822606327
1013829329716379
114451a93105511
12167427265a737
1379413c193648
1435b4b3795159
1518eaec800354
hexc93e449049b

13829329716379 has 2 divisors, whose sum is σ = 13829329716380. Its totient is φ = 13829329716378.

The previous prime is 13829329716347. The next prime is 13829329716409. The reversal of 13829329716379 is 97361792392831.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13829329716379 - 25 = 13829329716347 is a prime.

It is not a weakly prime, because it can be changed into another prime (13829329716179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6914664858189 + 6914664858190.

It is an arithmetic number, because the mean of its divisors is an integer number (6914664858190).

Almost surely, 213829329716379 is an apocalyptic number.

13829329716379 is a deficient number, since it is larger than the sum of its proper divisors (1).

13829329716379 is an equidigital number, since it uses as much as digits as its factorization.

13829329716379 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 185177664, while the sum is 70.

The spelling of 13829329716379 in words is "thirteen trillion, eight hundred twenty-nine billion, three hundred twenty-nine million, seven hundred sixteen thousand, three hundred seventy-nine".