Search a number
-
+
7856415137 is a prime number
BaseRepresentation
bin1110101000100011…
…10110000110100001
3202021112020020111102
413110101312012201
5112042220241022
63335330124145
7365455266254
oct72421660641
922245206442
107856415137
113371817a7a
121633120655
1398287c16c
145475ad09b
1530ead6a92
hex1d44761a1

7856415137 has 2 divisors, whose sum is σ = 7856415138. Its totient is φ = 7856415136.

The previous prime is 7856415097. The next prime is 7856415169. The reversal of 7856415137 is 7315146587.

7856415137 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., 7621988416 + 234426721 = 87304^2 + 15311^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-7856415137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7856415091 and 7856415100.

It is not a weakly prime, because it can be changed into another prime (7856417137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3928207568 + 3928207569.

It is an arithmetic number, because the mean of its divisors is an integer number (3928207569).

Almost surely, 27856415137 is an apocalyptic number.

It is an amenable number.

7856415137 is a deficient number, since it is larger than the sum of its proper divisors (1).

7856415137 is an equidigital number, since it uses as much as digits as its factorization.

7856415137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 705600, while the sum is 47.

The square root of 7856415137 is about 88636.4210525222. The cubic root of 7856415137 is about 1987.9622868429.

The spelling of 7856415137 in words is "seven billion, eight hundred fifty-six million, four hundred fifteen thousand, one hundred thirty-seven".