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27787540393 is a prime number
BaseRepresentation
bin11001111000010001…
…000011011110101001
32122201120011022100201
4121320101003132221
5423402102243033
620433155232201
72002413124204
oct317021033651
978646138321
1027787540393
111086a384418
125475ba8661
13280abc04c2
1414b868693b
15ac979a47d
hex6784437a9

27787540393 has 2 divisors, whose sum is σ = 27787540394. Its totient is φ = 27787540392.

The previous prime is 27787540387. The next prime is 27787540441. The reversal of 27787540393 is 39304578772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24708067344 + 3079473049 = 157188^2 + 55493^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27787540393 is a prime.

It is not a weakly prime, because it can be changed into another prime (27787540303) 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, 13893770196 + 13893770197.

It is an arithmetic number, because the mean of its divisors is an integer number (13893770197).

Almost surely, 227787540393 is an apocalyptic number.

It is an amenable number.

27787540393 is a deficient number, since it is larger than the sum of its proper divisors (1).

27787540393 is an equidigital number, since it uses as much as digits as its factorization.

27787540393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8890560, while the sum is 55.

The spelling of 27787540393 in words is "twenty-seven billion, seven hundred eighty-seven million, five hundred forty thousand, three hundred ninety-three".