Search a number
-
+
884736000013 is a prime number
BaseRepresentation
bin11001101111111100110…
…00000000000000001101
310010120122202212112122111
430313332120000000031
5103443414404000023
61514235254544021
7120630403626565
oct14677630000015
93116582775574
10884736000013
1131123a452778
12123574368011
1365579338258
1430b700bdda5
151803246a00d
hexcdfe60000d

884736000013 has 2 divisors, whose sum is σ = 884736000014. Its totient is φ = 884736000012.

The previous prime is 884735999993. The next prime is 884736000017. The reversal of 884736000013 is 310000637488.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 638444146729 + 246291853284 = 799027^2 + 496278^2 .

It is a cyclic number.

It is not a de Polignac number, because 884736000013 - 217 = 884735868941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 884736000013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (884736000017) 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, 442368000006 + 442368000007.

It is an arithmetic number, because the mean of its divisors is an integer number (442368000007).

Almost surely, 2884736000013 is an apocalyptic number.

It is an amenable number.

884736000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

884736000013 is an equidigital number, since it uses as much as digits as its factorization.

884736000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 884736000013 in words is "eight hundred eighty-four billion, seven hundred thirty-six million, thirteen", and thus it is an aban number.