Search a number
-
+
13758418313 is a prime number
BaseRepresentation
bin11001101000001000…
…01100110110001001
31022111211220001210122
430310010030312021
5211134123341223
610153122353025
7664642424513
oct146404146611
938454801718
1013758418313
1159202a5352
1227bb7bb775
1313b3556133
1494738cbb3
15557d135c8
hex33410cd89

13758418313 has 2 divisors, whose sum is σ = 13758418314. Its totient is φ = 13758418312.

The previous prime is 13758418249. The next prime is 13758418319. The reversal of 13758418313 is 31381485731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12492979984 + 1265438329 = 111772^2 + 35573^2 .

It is a cyclic number.

It is not a de Polignac number, because 13758418313 - 26 = 13758418249 is a prime.

It is not a weakly prime, because it can be changed into another prime (13758418319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6879209156 + 6879209157.

It is an arithmetic number, because the mean of its divisors is an integer number (6879209157).

Almost surely, 213758418313 is an apocalyptic number.

It is an amenable number.

13758418313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13758418313 is an equidigital number, since it uses as much as digits as its factorization.

13758418313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 241920, while the sum is 44.

The spelling of 13758418313 in words is "thirteen billion, seven hundred fifty-eight million, four hundred eighteen thousand, three hundred thirteen".