Search a number
-
+
13335666749 is a prime number
BaseRepresentation
bin11000110101101111…
…00010000000111101
31021102101102001200022
430122313202000331
5204302412313444
610043141341525
7651320203616
oct143267420075
937371361608
1013335666749
1157236aa899
1227021078a5
131346aa9b92
14907184c0d
15530b589ee
hex31ade203d

13335666749 has 2 divisors, whose sum is σ = 13335666750. Its totient is φ = 13335666748.

The previous prime is 13335666703. The next prime is 13335666761. The reversal of 13335666749 is 94766653331.

13335666749 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., 11424403225 + 1911263524 = 106885^2 + 43718^2 .

It is a cyclic number.

It is not a de Polignac number, because 13335666749 - 28 = 13335666493 is a prime.

It is a super-3 number, since 3×133356667493 (a number of 31 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13335666749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13335666049) 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, 6667833374 + 6667833375.

It is an arithmetic number, because the mean of its divisors is an integer number (6667833375).

Almost surely, 213335666749 is an apocalyptic number.

It is an amenable number.

13335666749 is a deficient number, since it is larger than the sum of its proper divisors (1).

13335666749 is an equidigital number, since it uses as much as digits as its factorization.

13335666749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7348320, while the sum is 53.

The spelling of 13335666749 in words is "thirteen billion, three hundred thirty-five million, six hundred sixty-six thousand, seven hundred forty-nine".