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204040414829 is a prime number
BaseRepresentation
bin1011111000000111000…
…0011010011001101101
3201111122221001000200002
42332001300122121231
511320333321233304
6233422422114045
720512211624036
oct2760160323155
9644587030602
10204040414829
1179595549709
123366487b925
1316319421194
149c38955a8d
15549302e31e
hex2f81c1a66d

204040414829 has 2 divisors, whose sum is σ = 204040414830. Its totient is φ = 204040414828.

The previous prime is 204040414811. The next prime is 204040414841. The reversal of 204040414829 is 928414040402.

204040414829 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., 189568806025 + 14471608804 = 435395^2 + 120298^2 .

It is a cyclic number.

It is not a de Polignac number, because 204040414829 - 28 = 204040414573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204040414792 and 204040414801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (204040414429) 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, 102020207414 + 102020207415.

It is an arithmetic number, because the mean of its divisors is an integer number (102020207415).

Almost surely, 2204040414829 is an apocalyptic number.

It is an amenable number.

204040414829 is a deficient number, since it is larger than the sum of its proper divisors (1).

204040414829 is an equidigital number, since it uses as much as digits as its factorization.

204040414829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 204040414829 in words is "two hundred four billion, forty million, four hundred fourteen thousand, eight hundred twenty-nine".