Search a number
-
+
136364567441 is a prime number
BaseRepresentation
bin111111011111111110…
…1100010101110010001
3111000222110222202210212
41332333331202232101
54213233312124231
6142351153533505
712565145461364
oct1767775425621
9430873882725
10136364567441
1152917274923
1222518274295
13cb2265727b
1468588980db
1538319b142b
hex1fbff62b91

136364567441 has 2 divisors, whose sum is σ = 136364567442. Its totient is φ = 136364567440.

The previous prime is 136364567407. The next prime is 136364567453. The reversal of 136364567441 is 144765463631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127849153600 + 8515413841 = 357560^2 + 92279^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-136364567441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 136364567441.

It is not a weakly prime, because it can be changed into another prime (136364567741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68182283720 + 68182283721.

It is an arithmetic number, because the mean of its divisors is an integer number (68182283721).

Almost surely, 2136364567441 is an apocalyptic number.

It is an amenable number.

136364567441 is a deficient number, since it is larger than the sum of its proper divisors (1).

136364567441 is an equidigital number, since it uses as much as digits as its factorization.

136364567441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4354560, while the sum is 50.

The spelling of 136364567441 in words is "one hundred thirty-six billion, three hundred sixty-four million, five hundred sixty-seven thousand, four hundred forty-one".