Search a number
-
+
115586132033 is a prime number
BaseRepresentation
bin110101110100101111…
…0000110100001000001
3102001100101200212221002
41223221132012201001
53343210022211113
6125033255541345
711231221624451
oct1535136064101
9361311625832
10115586132033
11450243a3859
121a49968a855
13ab9090a088
14584705bd61
15301772cc58
hex1ae9786841

115586132033 has 2 divisors, whose sum is σ = 115586132034. Its totient is φ = 115586132032.

The previous prime is 115586131967. The next prime is 115586132047. The reversal of 115586132033 is 330231685511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70685793424 + 44900338609 = 265868^2 + 211897^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-115586132033 is a prime.

It is not a weakly prime, because it can be changed into another prime (115586132533) 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, 57793066016 + 57793066017.

It is an arithmetic number, because the mean of its divisors is an integer number (57793066017).

Almost surely, 2115586132033 is an apocalyptic number.

It is an amenable number.

115586132033 is a deficient number, since it is larger than the sum of its proper divisors (1).

115586132033 is an equidigital number, since it uses as much as digits as its factorization.

115586132033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 115586132033 in words is "one hundred fifteen billion, five hundred eighty-six million, one hundred thirty-two thousand, thirty-three".