Search a number
-
+
768957641 is a prime number
BaseRepresentation
bin101101110101010…
…101110011001001
31222120221002120122
4231311111303021
53033323121031
6204145233025
725025014004
oct5565256311
91876832518
10768957641
11365069291
12195632775
13c340462a
14741a853b
154779447b
hex2dd55cc9

768957641 has 2 divisors, whose sum is σ = 768957642. Its totient is φ = 768957640.

The previous prime is 768957611. The next prime is 768957659. The reversal of 768957641 is 146759867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 646634041 + 122323600 = 25429^2 + 11060^2 .

It is an emirp because it is prime and its reverse (146759867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 768957641 - 26 = 768957577 is a prime.

It is not a weakly prime, because it can be changed into another prime (768957611) 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, 384478820 + 384478821.

It is an arithmetic number, because the mean of its divisors is an integer number (384478821).

Almost surely, 2768957641 is an apocalyptic number.

It is an amenable number.

768957641 is a deficient number, since it is larger than the sum of its proper divisors (1).

768957641 is an equidigital number, since it uses as much as digits as its factorization.

768957641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2540160, while the sum is 53.

The square root of 768957641 is about 27730.0854849025. The cubic root of 768957641 is about 916.1518697264.

The spelling of 768957641 in words is "seven hundred sixty-eight million, nine hundred fifty-seven thousand, six hundred forty-one".