Search a number
-
+
185313833459 is a prime number
BaseRepresentation
bin1010110010010110010…
…0001011000111110011
3122201022211200010101022
42230211210023013303
511014010320132314
6221044302330055
716250151410636
oct2544544130763
9581284603338
10185313833459
1171655911987
122bab928992b
13146238055c1
148d7d831c1d
154c48ea278e
hex2b2590b1f3

185313833459 has 2 divisors, whose sum is σ = 185313833460. Its totient is φ = 185313833458.

The previous prime is 185313833381. The next prime is 185313833491. The reversal of 185313833459 is 954338313581.

It is a happy number.

185313833459 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (954338313581) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 185313833459 - 220 = 185312784883 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 185313833459.

It is not a weakly prime, because it can be changed into another prime (185313823459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 92656916729 + 92656916730.

It is an arithmetic number, because the mean of its divisors is an integer number (92656916730).

Almost surely, 2185313833459 is an apocalyptic number.

185313833459 is a deficient number, since it is larger than the sum of its proper divisors (1).

185313833459 is an equidigital number, since it uses as much as digits as its factorization.

185313833459 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4665600, while the sum is 53.

The spelling of 185313833459 in words is "one hundred eighty-five billion, three hundred thirteen million, eight hundred thirty-three thousand, four hundred fifty-nine".