Search a number
-
+
205759462949 is a prime number
BaseRepresentation
bin1011111110100000111…
…0000011111000100101
3201200002201201201100222
42333220032003320211
511332343410303244
6234305151214125
720602624402115
oct2775016037045
9650081651328
10205759462949
117a297941a37
1233a64517345
1316531609811
149d5cd99045
155543de6bee
hex2fe8383e25

205759462949 has 2 divisors, whose sum is σ = 205759462950. Its totient is φ = 205759462948.

The previous prime is 205759462891. The next prime is 205759463017. The reversal of 205759462949 is 949264957502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204566244100 + 1193218849 = 452290^2 + 34543^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205759462949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205759462891 and 205759462900.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205759468949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102879731474 + 102879731475.

It is an arithmetic number, because the mean of its divisors is an integer number (102879731475).

Almost surely, 2205759462949 is an apocalyptic number.

It is an amenable number.

205759462949 is a deficient number, since it is larger than the sum of its proper divisors (1).

205759462949 is an equidigital number, since it uses as much as digits as its factorization.

205759462949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48988800, while the sum is 62.

The spelling of 205759462949 in words is "two hundred five billion, seven hundred fifty-nine million, four hundred sixty-two thousand, nine hundred forty-nine".