Search a number
-
+
6336354243137 is a prime number
BaseRepresentation
bin101110000110100110000…
…1001001101001001000001
3211102202020102101110220212
41130031030021031021001
51312303323141240022
621250514141443505
71222533523256552
oct134151411151101
924382212343825
106336354243137
112023261866696
12864040270595
1336c691b2cb79
1417c97723c329
15aec5302e3e2
hex5c34c24d241

6336354243137 has 2 divisors, whose sum is σ = 6336354243138. Its totient is φ = 6336354243136.

The previous prime is 6336354243127. The next prime is 6336354243139. The reversal of 6336354243137 is 7313424536336.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5365264220416 + 971090022721 = 2316304^2 + 985439^2 .

It is a cyclic number.

It is not a de Polignac number, because 6336354243137 - 26 = 6336354243073 is a prime.

It is a super-2 number, since 2×63363542431372 (a number of 26 digits) contains 22 as substring.

Together with 6336354243139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (6336354243139) 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, 3168177121568 + 3168177121569.

It is an arithmetic number, because the mean of its divisors is an integer number (3168177121569).

Almost surely, 26336354243137 is an apocalyptic number.

It is an amenable number.

6336354243137 is a deficient number, since it is larger than the sum of its proper divisors (1).

6336354243137 is an equidigital number, since it uses as much as digits as its factorization.

6336354243137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9797760, while the sum is 50.

The spelling of 6336354243137 in words is "six trillion, three hundred thirty-six billion, three hundred fifty-four million, two hundred forty-three thousand, one hundred thirty-seven".