Search a number
-
+
27408616849 is a prime number
BaseRepresentation
bin11001100001101011…
…100100110110010001
32121202011010222222101
4121201223210312101
5422113101214344
620331421440401
71660132253635
oct314153446621
977664128871
1027408616849
11106954a4569
12538b110101
13277a54b2a3
14148020adc5
15aa639b9d4
hex661ae4d91

27408616849 has 2 divisors, whose sum is σ = 27408616850. Its totient is φ = 27408616848.

The previous prime is 27408616777. The next prime is 27408616853. The reversal of 27408616849 is 94861680472.

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., 19169787025 + 8238829824 = 138455^2 + 90768^2 .

It is a cyclic number.

It is not a de Polignac number, because 27408616849 - 27 = 27408616721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27408616849.

It is not a weakly prime, because it can be changed into another prime (27408611849) 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, 13704308424 + 13704308425.

It is an arithmetic number, because the mean of its divisors is an integer number (13704308425).

Almost surely, 227408616849 is an apocalyptic number.

It is an amenable number.

27408616849 is a deficient number, since it is larger than the sum of its proper divisors (1).

27408616849 is an equidigital number, since it uses as much as digits as its factorization.

27408616849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 27408616849 in words is "twenty-seven billion, four hundred eight million, six hundred sixteen thousand, eight hundred forty-nine".