Search a number
-
+
27380527309 is a prime number
BaseRepresentation
bin11001100000000000…
…011011000011001101
32121200012021220101001
4121200000123003031
5422033403333214
620324535420301
71656341433142
oct314000330315
977605256331
1027380527309
1110680659473
125381824691
132774794a65
14147a5b83c9
15aa3b9dc74
hex66001b0cd

27380527309 has 2 divisors, whose sum is σ = 27380527310. Its totient is φ = 27380527308.

The previous prime is 27380527303. The next prime is 27380527333. The reversal of 27380527309 is 90372508372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23280046084 + 4100481225 = 152578^2 + 64035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27380527309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27380527303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13690263654 + 13690263655.

It is an arithmetic number, because the mean of its divisors is an integer number (13690263655).

Almost surely, 227380527309 is an apocalyptic number.

It is an amenable number.

27380527309 is a deficient number, since it is larger than the sum of its proper divisors (1).

27380527309 is an equidigital number, since it uses as much as digits as its factorization.

27380527309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 27380527309 in words is "twenty-seven billion, three hundred eighty million, five hundred twenty-seven thousand, three hundred nine".