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208944977141 is a prime number
BaseRepresentation
bin1100001010011000010…
…1110101010011110101
3201222022201211121100002
43002212011311103311
511410404403232031
6235553224001045
721044565000365
oct3024605652365
9658281747302
10208944977141
1180681aa099a
12345b3300185
131691b575a64
14a1820929a5
15567d8d2ccb
hex30a61754f5

208944977141 has 2 divisors, whose sum is σ = 208944977142. Its totient is φ = 208944977140.

The previous prime is 208944977077. The next prime is 208944977243. The reversal of 208944977141 is 141779449802.

208944977141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200605452100 + 8339525041 = 447890^2 + 91321^2 .

It is a cyclic number.

It is not a de Polignac number, because 208944977141 - 26 = 208944977077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208944977341) 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, 104472488570 + 104472488571.

It is an arithmetic number, because the mean of its divisors is an integer number (104472488571).

Almost surely, 2208944977141 is an apocalyptic number.

It is an amenable number.

208944977141 is a deficient number, since it is larger than the sum of its proper divisors (1).

208944977141 is an equidigital number, since it uses as much as digits as its factorization.

208944977141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4064256, while the sum is 56.

The spelling of 208944977141 in words is "two hundred eight billion, nine hundred forty-four million, nine hundred seventy-seven thousand, one hundred forty-one".