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208384181249 is a prime number
BaseRepresentation
bin1100001000010010101…
…0100100010000000001
3201220212122121012222212
43002010222210100001
511403232322244444
6235421432111505
721024645213056
oct3020452442001
9656778535885
10208384181249
118041448a712
1234477535595
131685c32567a
14a12b7d302d
15564955b19e
hex3084aa4401

208384181249 has 2 divisors, whose sum is σ = 208384181250. Its totient is φ = 208384181248.

The previous prime is 208384181233. The next prime is 208384181281. The reversal of 208384181249 is 942181483802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184068457024 + 24315724225 = 429032^2 + 155935^2 .

It is a cyclic number.

It is not a de Polignac number, because 208384181249 - 24 = 208384181233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 208384181197 and 208384181206.

It is not a weakly prime, because it can be changed into another prime (208384181549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104192090624 + 104192090625.

It is an arithmetic number, because the mean of its divisors is an integer number (104192090625).

Almost surely, 2208384181249 is an apocalyptic number.

It is an amenable number.

208384181249 is a deficient number, since it is larger than the sum of its proper divisors (1).

208384181249 is an equidigital number, since it uses as much as digits as its factorization.

208384181249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 884736, while the sum is 50.

The spelling of 208384181249 in words is "two hundred eight billion, three hundred eighty-four million, one hundred eighty-one thousand, two hundred forty-nine".