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204893635729 is a prime number
BaseRepresentation
bin1011111011010010011…
…1001100010010010001
3201120212101112010201011
42332310213030102101
511324110232320404
6234043221410521
720542312111366
oct2766447142221
9646771463634
10204893635729
1179993130152
1233862569a41
1316424119513
149cb9db646d
1554e2dba604
hex2fb49cc491

204893635729 has 2 divisors, whose sum is σ = 204893635730. Its totient is φ = 204893635728.

The previous prime is 204893635693. The next prime is 204893635741. The reversal of 204893635729 is 927536398402.

204893635729 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., 195318034704 + 9575601025 = 441948^2 + 97855^2 .

It is a cyclic number.

It is not a de Polignac number, because 204893635729 - 213 = 204893627537 is a prime.

It is a super-2 number, since 2×2048936357292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (204893635129) 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, 102446817864 + 102446817865.

It is an arithmetic number, because the mean of its divisors is an integer number (102446817865).

Almost surely, 2204893635729 is an apocalyptic number.

It is an amenable number.

204893635729 is a deficient number, since it is larger than the sum of its proper divisors (1).

204893635729 is an equidigital number, since it uses as much as digits as its factorization.

204893635729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 204893635729 in words is "two hundred four billion, eight hundred ninety-three million, six hundred thirty-five thousand, seven hundred twenty-nine".