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208082857889 is a prime number
BaseRepresentation
bin1100000111001010110…
…1000110111110100001
3201220002122121102001102
43001302231012332201
511402123202423024
6235331505444145
721014326052234
oct3016255067641
9656078542042
10208082857889
118027a391a45
12343b2640655
1316811a8341a
14a0dd79741b
15562cd8a1ae
hex3072b46fa1

208082857889 has 2 divisors, whose sum is σ = 208082857890. Its totient is φ = 208082857888.

The previous prime is 208082857823. The next prime is 208082857891. The reversal of 208082857889 is 988758280802.

208082857889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199023054400 + 9059803489 = 446120^2 + 95183^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-208082857889 is a prime.

Together with 208082857891, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (208082817889) 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, 104041428944 + 104041428945.

It is an arithmetic number, because the mean of its divisors is an integer number (104041428945).

Almost surely, 2208082857889 is an apocalyptic number.

It is an amenable number.

208082857889 is a deficient number, since it is larger than the sum of its proper divisors (1).

208082857889 is an equidigital number, since it uses as much as digits as its factorization.

208082857889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41287680, while the sum is 65.

The spelling of 208082857889 in words is "two hundred eight billion, eighty-two million, eight hundred fifty-seven thousand, eight hundred eighty-nine".