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768315881 is a prime number
BaseRepresentation
bin101101110010111…
…001000111101001
31222112201111020202
4231302321013221
53033142102011
6204123401545
725016401664
oct5562710751
91875644222
10768315881
11364770103
121953832b5
13c323b4a8
147407c6db
15476b923b
hex2dcb91e9

768315881 has 2 divisors, whose sum is σ = 768315882. Its totient is φ = 768315880.

The previous prime is 768315857. The next prime is 768315883. The reversal of 768315881 is 188513867.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 593653225 + 174662656 = 24365^2 + 13216^2 .

It is a cyclic number.

It is not a de Polignac number, because 768315881 - 26 = 768315817 is a prime.

It is a super-2 number, since 2×7683158812 = 1180618585993612322, which contains 22 as substring.

Together with 768315883, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p39598427 and since 768315881 and 39598427 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (768315883) 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, 384157940 + 384157941.

It is an arithmetic number, because the mean of its divisors is an integer number (384157941).

Almost surely, 2768315881 is an apocalyptic number.

It is an amenable number.

768315881 is a deficient number, since it is larger than the sum of its proper divisors (1).

768315881 is an equidigital number, since it uses as much as digits as its factorization.

768315881 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 322560, while the sum is 47.

The square root of 768315881 is about 27718.5115220857. The cubic root of 768315881 is about 915.8969301246.

The spelling of 768315881 in words is "seven hundred sixty-eight million, three hundred fifteen thousand, eight hundred eighty-one".