Search a number
-
+
12613636417 is a prime number
BaseRepresentation
bin10111011111101010…
…01101000101000001
31012120001210010021011
423233311031011001
5201313042331132
65443350000521
7624402066124
oct135765150501
935501703234
1012613636417
115393083808
122540346141
1312603261b5
148793143bb
154dc583b47
hex2efd4d141

12613636417 has 2 divisors, whose sum is σ = 12613636418. Its totient is φ = 12613636416.

The previous prime is 12613636369. The next prime is 12613636447. The reversal of 12613636417 is 71463631621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12488286001 + 125350416 = 111751^2 + 11196^2 .

It is an emirp because it is prime and its reverse (71463631621) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12613636417 is a prime.

It is a super-3 number, since 3×126136364173 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12613636417.

It is not a weakly prime, because it can be changed into another prime (12613636447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6306818208 + 6306818209.

It is an arithmetic number, because the mean of its divisors is an integer number (6306818209).

Almost surely, 212613636417 is an apocalyptic number.

It is an amenable number.

12613636417 is a deficient number, since it is larger than the sum of its proper divisors (1).

12613636417 is an equidigital number, since it uses as much as digits as its factorization.

12613636417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 108864, while the sum is 40.

The spelling of 12613636417 in words is "twelve billion, six hundred thirteen million, six hundred thirty-six thousand, four hundred seventeen".