Search a number
-
+
85831244137 is a prime number
BaseRepresentation
bin100111111101111110…
…0001101100101101001
322012112201121222011001
41033323330031211221
52401240244303022
6103232541235001
76125656352242
oct1177374154551
9265481558131
1085831244137
1133445555111
1214774862a61
13812b265932
1442233b9cc9
1523753beb27
hex13fbf0d969

85831244137 has 2 divisors, whose sum is σ = 85831244138. Its totient is φ = 85831244136.

The previous prime is 85831244131. The next prime is 85831244167. The reversal of 85831244137 is 73144213858.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85219621776 + 611622361 = 291924^2 + 24731^2 .

It is a cyclic number.

It is not a de Polignac number, because 85831244137 - 223 = 85822855529 is a prime.

It is a zygodrome in base 11.

It is not a weakly prime, because it can be changed into another prime (85831244131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42915622068 + 42915622069.

It is an arithmetic number, because the mean of its divisors is an integer number (42915622069).

Almost surely, 285831244137 is an apocalyptic number.

It is an amenable number.

85831244137 is a deficient number, since it is larger than the sum of its proper divisors (1).

85831244137 is an equidigital number, since it uses as much as digits as its factorization.

85831244137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 645120, while the sum is 46.

The spelling of 85831244137 in words is "eighty-five billion, eight hundred thirty-one million, two hundred forty-four thousand, one hundred thirty-seven".