Search a number
-
+
6782116321 is a prime number
BaseRepresentation
bin1100101000011111…
…01110000111100001
3122111122202012120101
412110033232013201
5102342210210241
63040552142401
7330032015611
oct62417560741
918448665511
106782116321
112970367412
121393397a01
138411298a6
14484a40a41
1529a62ae31
hex1943ee1e1

6782116321 has 2 divisors, whose sum is σ = 6782116322. Its totient is φ = 6782116320.

The previous prime is 6782116273. The next prime is 6782116331. The reversal of 6782116321 is 1236112876.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4338198225 + 2443918096 = 65865^2 + 49436^2 .

It is a cyclic number.

It is not a de Polignac number, because 6782116321 - 27 = 6782116193 is a prime.

It is not a weakly prime, because it can be changed into another prime (6782116331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3391058160 + 3391058161.

It is an arithmetic number, because the mean of its divisors is an integer number (3391058161).

Almost surely, 26782116321 is an apocalyptic number.

It is an amenable number.

6782116321 is a deficient number, since it is larger than the sum of its proper divisors (1).

6782116321 is an equidigital number, since it uses as much as digits as its factorization.

6782116321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 37.

The square root of 6782116321 is about 82353.6053916281. The cubic root of 6782116321 is about 1892.8741690928.

The spelling of 6782116321 in words is "six billion, seven hundred eighty-two million, one hundred sixteen thousand, three hundred twenty-one".