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206159239972057 is a prime number
BaseRepresentation
bin101110111000000000110000…
…010001000000010011011001
31000000221122000220021100010111
4232320000300101000103121
5204010203110413101212
62010244125233444321
761265341103256211
oct5670006021002331
91000848026240114
10206159239972057
115a763708449699
121b1570604106a1
138b0596b28c5c8
1438ca236405241
1518c7a1cdd5ea7
hexbb80304404d9

206159239972057 has 2 divisors, whose sum is σ = 206159239972058. Its totient is φ = 206159239972056.

The previous prime is 206159239972013. The next prime is 206159239972157. The reversal of 206159239972057 is 750279932951602.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203956215192976 + 2203024779081 = 14281324^2 + 1484259^2 .

It is a cyclic number.

It is not a de Polignac number, because 206159239972057 - 219 = 206159239447769 is a prime.

It is a super-2 number, since 2×2061592399720572 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 206159239971983 and 206159239972001.

It is not a weakly prime, because it can be changed into another prime (206159239972157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103079619986028 + 103079619986029.

It is an arithmetic number, because the mean of its divisors is an integer number (103079619986029).

Almost surely, 2206159239972057 is an apocalyptic number.

It is an amenable number.

206159239972057 is a deficient number, since it is larger than the sum of its proper divisors (1).

206159239972057 is an equidigital number, since it uses as much as digits as its factorization.

206159239972057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128595600, while the sum is 67.

The spelling of 206159239972057 in words is "two hundred six trillion, one hundred fifty-nine billion, two hundred thirty-nine million, nine hundred seventy-two thousand, fifty-seven".