Search a number
-
+
27138680293 is a prime number
BaseRepresentation
bin11001010001100101…
…110110010111100101
32121001100012210122011
4121101211312113211
5421040000232133
620244540034221
71650343655614
oct312145662745
977040183564
1027138680293
11105670941aa
125314832971
13273664830a
14145642187b
15a8c82a6cd
hex6519765e5

27138680293 has 2 divisors, whose sum is σ = 27138680294. Its totient is φ = 27138680292.

The previous prime is 27138680183. The next prime is 27138680311. The reversal of 27138680293 is 39208683172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13764451684 + 13374228609 = 117322^2 + 115647^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27138680293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27138680993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13569340146 + 13569340147.

It is an arithmetic number, because the mean of its divisors is an integer number (13569340147).

Almost surely, 227138680293 is an apocalyptic number.

It is an amenable number.

27138680293 is a deficient number, since it is larger than the sum of its proper divisors (1).

27138680293 is an equidigital number, since it uses as much as digits as its factorization.

27138680293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 27138680293 in words is "twenty-seven billion, one hundred thirty-eight million, six hundred eighty thousand, two hundred ninety-three".