Search a number
-
+
13745975137 is a prime number
BaseRepresentation
bin11001100110101001…
…01110111101100001
31022110222110212222021
430303110232331201
5211122432201022
610151555541441
7664431601156
oct146324567541
938428425867
1013745975137
115914276634
1227b75ba881
1313b0aba4cb
1494587022d
15556ba67c7
hex33352ef61

13745975137 has 2 divisors, whose sum is σ = 13745975138. Its totient is φ = 13745975136.

The previous prime is 13745975123. The next prime is 13745975153. The reversal of 13745975137 is 73157954731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13744983121 + 992016 = 117239^2 + 996^2 .

It is a cyclic number.

It is not a de Polignac number, because 13745975137 - 211 = 13745973089 is a prime.

It is not a weakly prime, because it can be changed into another prime (13745970137) 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, 6872987568 + 6872987569.

It is an arithmetic number, because the mean of its divisors is an integer number (6872987569).

Almost surely, 213745975137 is an apocalyptic number.

It is an amenable number.

13745975137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13745975137 is an equidigital number, since it uses as much as digits as its factorization.

13745975137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2778300, while the sum is 52.

The spelling of 13745975137 in words is "thirteen billion, seven hundred forty-five million, nine hundred seventy-five thousand, one hundred thirty-seven".