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27768384029 is a prime number
BaseRepresentation
bin11001110111000111…
…111110101000011101
32122200020010001202202
4121313013332220131
5423332201242104
620431232501245
72002061240561
oct316707765035
978606101682
1027768384029
111085a58aa11
12546b6aa825
132806c44089
1414b5cdb6a1
15ac7c6451e
hex6771fea1d

27768384029 has 2 divisors, whose sum is σ = 27768384030. Its totient is φ = 27768384028.

The previous prime is 27768383987. The next prime is 27768384221. The reversal of 27768384029 is 92048386772.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17532408100 + 10235975929 = 132410^2 + 101173^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27768384029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27768384629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13884192014 + 13884192015.

It is an arithmetic number, because the mean of its divisors is an integer number (13884192015).

Almost surely, 227768384029 is an apocalyptic number.

It is an amenable number.

27768384029 is a deficient number, since it is larger than the sum of its proper divisors (1).

27768384029 is an equidigital number, since it uses as much as digits as its factorization.

27768384029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 27768384029 in words is "twenty-seven billion, seven hundred sixty-eight million, three hundred eighty-four thousand, twenty-nine".