Search a number
-
+
13717968053 is a prime number
BaseRepresentation
bin11001100011010011…
…11001010010110101
31022102000202222110212
430301221321102311
5211043244434203
610145115355205
7663641542646
oct146151712265
938360688425
1013717968053
1158aa487489
1227aa152b05
1313a806267a
14941c5d6cd
155544c31d8
hex331a794b5

13717968053 has 2 divisors, whose sum is σ = 13717968054. Its totient is φ = 13717968052.

The previous prime is 13717967971. The next prime is 13717968071. The reversal of 13717968053 is 35086971731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13110937009 + 607031044 = 114503^2 + 24638^2 .

It is a cyclic number.

It is not a de Polignac number, because 13717968053 - 214 = 13717951669 is a prime.

It is a super-2 number, since 2×137179680532 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13717967992 and 13717968010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13717968073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6858984026 + 6858984027.

It is an arithmetic number, because the mean of its divisors is an integer number (6858984027).

Almost surely, 213717968053 is an apocalyptic number.

It is an amenable number.

13717968053 is a deficient number, since it is larger than the sum of its proper divisors (1).

13717968053 is an equidigital number, since it uses as much as digits as its factorization.

13717968053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 952560, while the sum is 50.

The spelling of 13717968053 in words is "thirteen billion, seven hundred seventeen million, nine hundred sixty-eight thousand, fifty-three".