Search a number
-
+
133565642032049 is a prime number
BaseRepresentation
bin11110010111101000101100…
…101001011100001110110001
3122111220202021020120000011122
4132113220230221130032301
5120001314413330011144
61152023113041152025
740063541060000033
oct3627505451341661
9574822236500148
10133565642032049
1139615963972667
1212b91abb32b615
13596b255842c26
1424da87c1d7c53
15106953764b7ee
hex797a2ca5c3b1

133565642032049 has 2 divisors, whose sum is σ = 133565642032050. Its totient is φ = 133565642032048.

The previous prime is 133565642031979. The next prime is 133565642032093. The reversal of 133565642032049 is 940230246565331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116122865665024 + 17442776367025 = 10776032^2 + 4176455^2 .

It is a cyclic number.

It is not a de Polignac number, because 133565642032049 - 212 = 133565642027953 is a prime.

It is not a weakly prime, because it can be changed into another prime (133565642032099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66782821016024 + 66782821016025.

It is an arithmetic number, because the mean of its divisors is an integer number (66782821016025).

Almost surely, 2133565642032049 is an apocalyptic number.

It is an amenable number.

133565642032049 is a deficient number, since it is larger than the sum of its proper divisors (1).

133565642032049 is an equidigital number, since it uses as much as digits as its factorization.

133565642032049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13996800, while the sum is 53.

The spelling of 133565642032049 in words is "one hundred thirty-three trillion, five hundred sixty-five billion, six hundred forty-two million, thirty-two thousand, forty-nine".