Search a number
-
+
23347661257 is a prime number
BaseRepresentation
bin10101101111101000…
…010000100111001001
32020021010202002011201
4111233220100213021
5340304000130012
614420433224201
71454401563154
oct255750204711
966233662151
1023347661257
1199a1167518
124637102061
13228110699b
1411b6b4ac9b
15919ad5857
hex56fa109c9

23347661257 has 2 divisors, whose sum is σ = 23347661258. Its totient is φ = 23347661256.

The previous prime is 23347661231. The next prime is 23347661287. The reversal of 23347661257 is 75216674332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13458552121 + 9889109136 = 116011^2 + 99444^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23347661257 is a prime.

It is a super-2 number, since 2×233476612572 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23347661287) 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, 11673830628 + 11673830629.

It is an arithmetic number, because the mean of its divisors is an integer number (11673830629).

Almost surely, 223347661257 is an apocalyptic number.

It is an amenable number.

23347661257 is a deficient number, since it is larger than the sum of its proper divisors (1).

23347661257 is an equidigital number, since it uses as much as digits as its factorization.

23347661257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1270080, while the sum is 46.

The spelling of 23347661257 in words is "twenty-three billion, three hundred forty-seven million, six hundred sixty-one thousand, two hundred fifty-seven".