Search a number
-
+
13879248569 is a prime number
BaseRepresentation
bin11001110110100010…
…01000011010111001
31022211021020212202022
430323101020122321
5211411041423234
610213120244225
71000640444354
oct147321103271
938737225668
1013879248569
11598252396a
122834170675
1314025b0c24
1495944329b
1556372ee2e
hex33b4486b9

13879248569 has 2 divisors, whose sum is σ = 13879248570. Its totient is φ = 13879248568.

The previous prime is 13879248553. The next prime is 13879248571. The reversal of 13879248569 is 96584297831.

13879248569 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., 13850465344 + 28783225 = 117688^2 + 5365^2 .

It is a cyclic number.

It is not a de Polignac number, because 13879248569 - 24 = 13879248553 is a prime.

It is a super-2 number, since 2×138792485692 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 13879248571, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13879248529) 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, 6939624284 + 6939624285.

It is an arithmetic number, because the mean of its divisors is an integer number (6939624285).

Almost surely, 213879248569 is an apocalyptic number.

It is an amenable number.

13879248569 is a deficient number, since it is larger than the sum of its proper divisors (1).

13879248569 is an equidigital number, since it uses as much as digits as its factorization.

13879248569 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26127360, while the sum is 62.

The spelling of 13879248569 in words is "thirteen billion, eight hundred seventy-nine million, two hundred forty-eight thousand, five hundred sixty-nine".