Search a number
-
+
5367681017 is a prime number
BaseRepresentation
bin1001111111111000…
…00100111111111001
3111212002020110002122
410333330010333321
541443111243032
62244344011025
7250005351536
oct47774047771
914762213078
105367681017
112304a09216
121059760a75
1367709581a
1438cc51d8d
15216384012
hex13ff04ff9

5367681017 has 2 divisors, whose sum is σ = 5367681018. Its totient is φ = 5367681016.

The previous prime is 5367680971. The next prime is 5367681019. The reversal of 5367681017 is 7101867635.

5367681017 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4644286201 + 723394816 = 68149^2 + 26896^2 .

It is a cyclic number.

It is not a de Polignac number, because 5367681017 - 212 = 5367676921 is a prime.

Together with 5367681019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (5367681019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2683840508 + 2683840509.

It is an arithmetic number, because the mean of its divisors is an integer number (2683840509).

Almost surely, 25367681017 is an apocalyptic number.

It is an amenable number.

5367681017 is a deficient number, since it is larger than the sum of its proper divisors (1).

5367681017 is an equidigital number, since it uses as much as digits as its factorization.

5367681017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 5367681017 is about 73264.4594397584. The cubic root of 5367681017 is about 1750.9035896351.

The spelling of 5367681017 in words is "five billion, three hundred sixty-seven million, six hundred eighty-one thousand, seventeen".