Search a number
-
+
204516330153649 is a prime number
BaseRepresentation
bin101110100000000110101011…
…001101011010011010110001
3222211010120101200121020012121
4232200012223031122122301
5203301243421004404044
62002545301030354241
761035550213235563
oct5640065315323261
9884116350536177
10204516330153649
115a18a985707568
121ab307751bb981
138a16a654b6297
143870900cdb333
151899e1463b984
hexba01ab35a6b1

204516330153649 has 2 divisors, whose sum is σ = 204516330153650. Its totient is φ = 204516330153648.

The previous prime is 204516330153617. The next prime is 204516330153727. The reversal of 204516330153649 is 946351033615402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184738875729424 + 19777454424225 = 13591868^2 + 4447185^2 .

It is a cyclic number.

It is not a de Polignac number, because 204516330153649 - 25 = 204516330153617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204516330153596 and 204516330153605.

It is not a weakly prime, because it can be changed into another prime (204516331153649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102258165076824 + 102258165076825.

It is an arithmetic number, because the mean of its divisors is an integer number (102258165076825).

Almost surely, 2204516330153649 is an apocalyptic number.

It is an amenable number.

204516330153649 is a deficient number, since it is larger than the sum of its proper divisors (1).

204516330153649 is an equidigital number, since it uses as much as digits as its factorization.

204516330153649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6998400, while the sum is 52.

The spelling of 204516330153649 in words is "two hundred four trillion, five hundred sixteen billion, three hundred thirty million, one hundred fifty-three thousand, six hundred forty-nine".