Search a number
-
+
13375017749 is a prime number
BaseRepresentation
bin11000111010011011…
…01001001100010101
31021112010110022002202
430131031221030111
5204343001031444
610051105014245
7652305526562
oct143515511425
937463408082
1013375017749
115743937885
122713324385
131351ca71b2
1490c4a9869
1553432d34e
hex31d369315

13375017749 has 2 divisors, whose sum is σ = 13375017750. Its totient is φ = 13375017748.

The previous prime is 13375017709. The next prime is 13375017751. The reversal of 13375017749 is 94771057331.

13375017749 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., 8922124849 + 4452892900 = 94457^2 + 66730^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13375017749 is a prime.

Together with 13375017751, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13375017709) 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, 6687508874 + 6687508875.

It is an arithmetic number, because the mean of its divisors is an integer number (6687508875).

Almost surely, 213375017749 is an apocalyptic number.

It is an amenable number.

13375017749 is a deficient number, since it is larger than the sum of its proper divisors (1).

13375017749 is an equidigital number, since it uses as much as digits as its factorization.

13375017749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 555660, while the sum is 47.

The spelling of 13375017749 in words is "thirteen billion, three hundred seventy-five million, seventeen thousand, seven hundred forty-nine".