Search a number
-
+
27752750369 is a prime number
BaseRepresentation
bin11001110110001100…
…010101110100100001
32122122010200210102022
4121312030111310201
5423314201002434
620425513431225
72001511325441
oct316614256441
978563623368
1027752750369
1110851782133
12546640b515
13280392c1a6
1414b3bcc121
15ac66c722e
hex676315d21

27752750369 has 2 divisors, whose sum is σ = 27752750370. Its totient is φ = 27752750368.

The previous prime is 27752750293. The next prime is 27752750371. The reversal of 27752750369 is 96305725772.

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., 20703468769 + 7049281600 = 143887^2 + 83960^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27752750369 is a prime.

It is a super-2 number, since 2×277527503692 (a number of 22 digits) contains 22 as substring.

Together with 27752750371, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27752750369.

It is not a weakly prime, because it can be changed into another prime (27752710369) 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, 13876375184 + 13876375185.

It is an arithmetic number, because the mean of its divisors is an integer number (13876375185).

Almost surely, 227752750369 is an apocalyptic number.

It is an amenable number.

27752750369 is a deficient number, since it is larger than the sum of its proper divisors (1).

27752750369 is an equidigital number, since it uses as much as digits as its factorization.

27752750369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5556600, while the sum is 53.

The spelling of 27752750369 in words is "twenty-seven billion, seven hundred fifty-two million, seven hundred fifty thousand, three hundred sixty-nine".