Search a number
-
+
204513197746609 is a prime number
BaseRepresentation
bin101110100000000011110000…
…100000001110100110110001
3222211010021022101102110120001
4232200003300200032212301
5203301221012110342414
62002544022132150001
761035406456225543
oct5640036040164661
9884107271373501
10204513197746609
115a189618530814
121ab30040168301
138a166865527ab
1438706c4ca9693
151899cce641074
hexba00f080e9b1

204513197746609 has 2 divisors, whose sum is σ = 204513197746610. Its totient is φ = 204513197746608.

The previous prime is 204513197746541. The next prime is 204513197746619. The reversal of 204513197746609 is 906647791315402.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133085294787600 + 71427902959009 = 11536260^2 + 8451503^2 .

It is a cyclic number.

It is not a de Polignac number, because 204513197746609 - 223 = 204513189358001 is a prime.

It is not a weakly prime, because it can be changed into another prime (204513197746619) 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, 102256598873304 + 102256598873305.

It is an arithmetic number, because the mean of its divisors is an integer number (102256598873305).

Almost surely, 2204513197746609 is an apocalyptic number.

It is an amenable number.

204513197746609 is a deficient number, since it is larger than the sum of its proper divisors (1).

204513197746609 is an equidigital number, since it uses as much as digits as its factorization.

204513197746609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 204513197746609 in words is "two hundred four trillion, five hundred thirteen billion, one hundred ninety-seven million, seven hundred forty-six thousand, six hundred nine".