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968677410401 is a prime number
BaseRepresentation
bin11100001100010011010…
…11000100011001100001
310102121022210110000020222
432012021223010121201
5111332322404113101
62021000530412425
7126661505063561
oct16061153043141
93377283400228
10968677410401
113438a5165808
121378a0131115
1370465bb975c
1434c544bada1
151a2e698901b
hexe189ac4661

968677410401 has 2 divisors, whose sum is σ = 968677410402. Its totient is φ = 968677410400.

The previous prime is 968677410373. The next prime is 968677410557. The reversal of 968677410401 is 104014776869.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 934035267025 + 34642143376 = 966455^2 + 186124^2 .

It is a cyclic number.

It is not a de Polignac number, because 968677410401 - 214 = 968677394017 is a prime.

It is not a weakly prime, because it can be changed into another prime (968677410101) 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, 484338705200 + 484338705201.

It is an arithmetic number, because the mean of its divisors is an integer number (484338705201).

Almost surely, 2968677410401 is an apocalyptic number.

It is an amenable number.

968677410401 is a deficient number, since it is larger than the sum of its proper divisors (1).

968677410401 is an equidigital number, since it uses as much as digits as its factorization.

968677410401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2032128, while the sum is 53.

The spelling of 968677410401 in words is "nine hundred sixty-eight billion, six hundred seventy-seven million, four hundred ten thousand, four hundred one".