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968413841 is a prime number
BaseRepresentation
bin111001101110001…
…101001010010001
32111111020112001022
4321232031022101
53440403220331
6240032245225
732666244653
oct7156151221
92444215038
10968413841
1145770a71a
122303a0815
1312582b255
14928886d3
155a04267b
hex39b8d291

968413841 has 2 divisors, whose sum is σ = 968413842. Its totient is φ = 968413840.

The previous prime is 968413819. The next prime is 968413843. The reversal of 968413841 is 148314869.

968413841 is digitally balanced in base 2, 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., 964723600 + 3690241 = 31060^2 + 1921^2 .

It is a cyclic number.

It is not a de Polignac number, because 968413841 - 26 = 968413777 is a prime.

Together with 968413843, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 968413792 and 968413801.

It is not a weakly prime, because it can be changed into another prime (968413843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 484206920 + 484206921.

It is an arithmetic number, because the mean of its divisors is an integer number (484206921).

Almost surely, 2968413841 is an apocalyptic number.

It is an amenable number.

968413841 is a deficient number, since it is larger than the sum of its proper divisors (1).

968413841 is an equidigital number, since it uses as much as digits as its factorization.

968413841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 165888, while the sum is 44.

The square root of 968413841 is about 31119.3483382927. The cubic root of 968413841 is about 989.3584392107.

The spelling of 968413841 in words is "nine hundred sixty-eight million, four hundred thirteen thousand, eight hundred forty-one".