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27969785163409 is a prime number
BaseRepresentation
bin1100101110000001110010…
…00110111110111010010001
310200000212220102022011202011
412113000321012332322101
512131224110000212114
6135253050353222521
75614515231122425
oct627007106767221
9120025812264664
1027969785163409
118a03a12610341
123178894561a41
13127b70216265b
146c9a5db2ab85
153378593d71c4
hex1970391bee91

27969785163409 has 2 divisors, whose sum is σ = 27969785163410. Its totient is φ = 27969785163408.

The previous prime is 27969785163371. The next prime is 27969785163431. The reversal of 27969785163409 is 90436158796972.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16040601725184 + 11929183438225 = 4005072^2 + 3453865^2 .

It is a cyclic number.

It is not a de Polignac number, because 27969785163409 - 213 = 27969785155217 is a prime.

It is not a weakly prime, because it can be changed into another prime (27969785163499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13984892581704 + 13984892581705.

It is an arithmetic number, because the mean of its divisors is an integer number (13984892581705).

It is a 1-persistent number, because it is pandigital, but 2⋅27969785163409 = 55939570326818 is not.

Almost surely, 227969785163409 is an apocalyptic number.

It is an amenable number.

27969785163409 is a deficient number, since it is larger than the sum of its proper divisors (1).

27969785163409 is an equidigital number, since it uses as much as digits as its factorization.

27969785163409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1234517760, while the sum is 76.

The spelling of 27969785163409 in words is "twenty-seven trillion, nine hundred sixty-nine billion, seven hundred eighty-five million, one hundred sixty-three thousand, four hundred nine".