Search a number
-
+
13239291749 is a prime number
BaseRepresentation
bin11000101010001111…
…11000111101100101
31021011200001201000212
430111013320331211
5204103224313444
610025415545205
7646040060135
oct142507707545
937150051025
1013239291749
115684264932
12269598b205
13132cb35358
148d8458ac5
1552746d19e
hex3151f8f65

13239291749 has 2 divisors, whose sum is σ = 13239291750. Its totient is φ = 13239291748.

The previous prime is 13239291733. The next prime is 13239291761. The reversal of 13239291749 is 94719293231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9751562500 + 3487729249 = 98750^2 + 59057^2 .

It is a cyclic number.

It is not a de Polignac number, because 13239291749 - 24 = 13239291733 is a prime.

It is a super-3 number, since 3×132392917493 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13239291697 and 13239291706.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13239291449) 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, 6619645874 + 6619645875.

It is an arithmetic number, because the mean of its divisors is an integer number (6619645875).

Almost surely, 213239291749 is an apocalyptic number.

It is an amenable number.

13239291749 is a deficient number, since it is larger than the sum of its proper divisors (1).

13239291749 is an equidigital number, since it uses as much as digits as its factorization.

13239291749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 734832, while the sum is 50.

The spelling of 13239291749 in words is "thirteen billion, two hundred thirty-nine million, two hundred ninety-one thousand, seven hundred forty-nine".