Search a number
-
+
205527756149 is a prime number
BaseRepresentation
bin1011111101101001101…
…0001010110101110101
3201122111120201210101122
42333122122022311311
511331410101144044
6234230153033325
720564112050102
oct2773232126565
9648446653348
10205527756149
117a189073211
12339ba9b5845
13164c56006c1
149d3a2c1aa9
15552d8c7dee
hex2fda68ad75

205527756149 has 2 divisors, whose sum is σ = 205527756150. Its totient is φ = 205527756148.

The previous prime is 205527756113. The next prime is 205527756151. The reversal of 205527756149 is 941657725502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186671523025 + 18856233124 = 432055^2 + 137318^2 .

It is a cyclic number.

It is not a de Polignac number, because 205527756149 - 28 = 205527755893 is a prime.

Together with 205527756151, 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 205527756149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205527756649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102763878074 + 102763878075.

It is an arithmetic number, because the mean of its divisors is an integer number (102763878075).

Almost surely, 2205527756149 is an apocalyptic number.

It is an amenable number.

205527756149 is a deficient number, since it is larger than the sum of its proper divisors (1).

205527756149 is an equidigital number, since it uses as much as digits as its factorization.

205527756149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292000, while the sum is 53.

The spelling of 205527756149 in words is "two hundred five billion, five hundred twenty-seven million, seven hundred fifty-six thousand, one hundred forty-nine".