Search a number
-
+
12864313157 is a prime number
BaseRepresentation
bin10111111101100010…
…11101011101000101
31020012112110211002212
423332301131131011
5202321231010112
65524302513205
7633534600113
oct137661353505
936175424085
1012864313157
115501629973
1225b0295805
1312a0244927
148a0728ab3
1550459d522
hex2fec5d745

12864313157 has 2 divisors, whose sum is σ = 12864313158. Its totient is φ = 12864313156.

The previous prime is 12864313129. The next prime is 12864313159. The reversal of 12864313157 is 75131346821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8720944996 + 4143368161 = 93386^2 + 64369^2 .

It is a cyclic number.

It is not a de Polignac number, because 12864313157 - 210 = 12864312133 is a prime.

Together with 12864313159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12864313159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6432156578 + 6432156579.

It is an arithmetic number, because the mean of its divisors is an integer number (6432156579).

Almost surely, 212864313157 is an apocalyptic number.

It is an amenable number.

12864313157 is a deficient number, since it is larger than the sum of its proper divisors (1).

12864313157 is an equidigital number, since it uses as much as digits as its factorization.

12864313157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 41.

Adding to 12864313157 its reverse (75131346821), we get a palindrome (87995659978).

The spelling of 12864313157 in words is "twelve billion, eight hundred sixty-four million, three hundred thirteen thousand, one hundred fifty-seven".