Search a number
-
+
13686593353 is a prime number
BaseRepresentation
bin11001011111100100…
…01101011101001001
31022022211201222110221
430233302031131021
5211012231441403
610142035110041
7663111060346
oct145762153511
938284658427
1013686593353
1158937a8184
12279b742321
1313a16c8a64
1493ba137cd
15551876dbd
hex32fc8d749

13686593353 has 2 divisors, whose sum is σ = 13686593354. Its totient is φ = 13686593352.

The previous prime is 13686593351. The next prime is 13686593419. The reversal of 13686593353 is 35339568631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10411549369 + 3275043984 = 102037^2 + 57228^2 .

It is an emirp because it is prime and its reverse (35339568631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13686593353 - 21 = 13686593351 is a prime.

It is a super-2 number, since 2×136865933532 (a number of 21 digits) contains 22 as substring.

Together with 13686593351, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13686593353.

It is not a weakly prime, because it can be changed into another prime (13686593351) 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, 6843296676 + 6843296677.

It is an arithmetic number, because the mean of its divisors is an integer number (6843296677).

Almost surely, 213686593353 is an apocalyptic number.

It is an amenable number.

13686593353 is a deficient number, since it is larger than the sum of its proper divisors (1).

13686593353 is an equidigital number, since it uses as much as digits as its factorization.

13686593353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5248800, while the sum is 52.

The spelling of 13686593353 in words is "thirteen billion, six hundred eighty-six million, five hundred ninety-three thousand, three hundred fifty-three".