Search a number
-
+
362849148497981 is a prime number
BaseRepresentation
bin101001010000000100110011…
…0100110100111000000111101
31202120202001002000220002020002
41102200021212212213000331
5340024410024003413411
63323414333031004045
7136266662104323305
oct12240114646470075
91676661060802202
10362849148497981
11a5684506962082
1234842719809625
13127606b29babb2
146585dc7580605
152be381442933b
hex14a02669a703d

362849148497981 has 2 divisors, whose sum is σ = 362849148497982. Its totient is φ = 362849148497980.

The previous prime is 362849148497923. The next prime is 362849148497987. The reversal of 362849148497981 is 189794841948263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 351322166088100 + 11526982409881 = 18743590^2 + 3395141^2 .

It is a cyclic number.

It is not a de Polignac number, because 362849148497981 - 218 = 362849148235837 is a prime.

It is a super-2 number, since 2×3628491484979812 (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 362849148497981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (362849148497987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181424574248990 + 181424574248991.

It is an arithmetic number, because the mean of its divisors is an integer number (181424574248991).

Almost surely, 2362849148497981 is an apocalyptic number.

It is an amenable number.

362849148497981 is a deficient number, since it is larger than the sum of its proper divisors (1).

362849148497981 is an equidigital number, since it uses as much as digits as its factorization.

362849148497981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6019743744, while the sum is 83.

The spelling of 362849148497981 in words is "three hundred sixty-two trillion, eight hundred forty-nine billion, one hundred forty-eight million, four hundred ninety-seven thousand, nine hundred eighty-one".