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27683942401 is a prime number
BaseRepresentation
bin11001110010000101…
…110111000000000001
32122110100012222122001
4121302011313000001
5423144042124101
620415014544001
72000014425223
oct316205670001
978410188561
1027683942401
1110816955745
125447368001
1327c25ba10b
1414a89da413
15ac0634901
hex672177001

27683942401 has 2 divisors, whose sum is σ = 27683942402. Its totient is φ = 27683942400.

The previous prime is 27683942347. The next prime is 27683942411. The reversal of 27683942401 is 10424938672.

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., 26730615025 + 953327376 = 163495^2 + 30876^2 .

It is a cyclic number.

It is not a de Polignac number, because 27683942401 - 29 = 27683941889 is a prime.

It is not a weakly prime, because it can be changed into another prime (27683942411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13841971200 + 13841971201.

It is an arithmetic number, because the mean of its divisors is an integer number (13841971201).

Almost surely, 227683942401 is an apocalyptic number.

It is an amenable number.

27683942401 is a deficient number, since it is larger than the sum of its proper divisors (1).

27683942401 is an equidigital number, since it uses as much as digits as its factorization.

27683942401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 27683942401 in words is "twenty-seven billion, six hundred eighty-three million, nine hundred forty-two thousand, four hundred one".