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204863967601 is a prime number
BaseRepresentation
bin1011111011001011011…
…0000001000101110001
3201120210022200211200121
42332302312001011301
511324030133430401
6234040241450241
720541501664366
oct2766266010561
9646708624617
10204863967601
1179978407037
1233854640981
131641ac2c607
149cb609246d
1554e04a9ca1
hex2fb2d81171

204863967601 has 2 divisors, whose sum is σ = 204863967602. Its totient is φ = 204863967600.

The previous prime is 204863967571. The next prime is 204863967619. The reversal of 204863967601 is 106769368402.

204863967601 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., 202536001600 + 2327966001 = 450040^2 + 48249^2 .

It is a cyclic number.

It is not a de Polignac number, because 204863967601 - 221 = 204861870449 is a prime.

It is not a weakly prime, because it can be changed into another prime (204863967661) 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, 102431983800 + 102431983801.

It is an arithmetic number, because the mean of its divisors is an integer number (102431983801).

Almost surely, 2204863967601 is an apocalyptic number.

It is an amenable number.

204863967601 is a deficient number, since it is larger than the sum of its proper divisors (1).

204863967601 is an equidigital number, since it uses as much as digits as its factorization.

204863967601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 204863967601 in words is "two hundred four billion, eight hundred sixty-three million, nine hundred sixty-seven thousand, six hundred one".