Search a number
-
+
185337985681 is a prime number
BaseRepresentation
bin1010110010011100000…
…0010011101010010001
3122201101112010012000001
42230213000103222101
511014033011020211
6221050524130001
716250563612402
oct2544700235221
9581345105001
10185337985681
11716685088a2
122bb05396901
1314628810964
148d82b1b9a9
154c4b173ac1
hex2b27013a91

185337985681 has 2 divisors, whose sum is σ = 185337985682. Its totient is φ = 185337985680.

The previous prime is 185337985663. The next prime is 185337985687. The reversal of 185337985681 is 186589733581.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153886736656 + 31451249025 = 392284^2 + 177345^2 .

It is a cyclic number.

It is not a de Polignac number, because 185337985681 - 235 = 150978247313 is a prime.

It is a super-2 number, since 2×1853379856812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (185337985687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 92668992840 + 92668992841.

It is an arithmetic number, because the mean of its divisors is an integer number (92668992841).

Almost surely, 2185337985681 is an apocalyptic number.

It is an amenable number.

185337985681 is a deficient number, since it is larger than the sum of its proper divisors (1).

185337985681 is an equidigital number, since it uses as much as digits as its factorization.

185337985681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 43545600, while the sum is 64.

The spelling of 185337985681 in words is "one hundred eighty-five billion, three hundred thirty-seven million, nine hundred eighty-five thousand, six hundred eighty-one".