Search a number
-
+
204400979969 = 1731212511537
BaseRepresentation
bin1011111001011100111…
…1110111000000000001
3201112121001111122001112
42332113033313000001
511322103122324334
6233522302213105
720524150443254
oct2762717670001
9645531448045
10204400979969
117976002a62a
1233745584195
1316376036234
149c707b309b
1554b4a034ce
hex2f973f7001

204400979969 has 12 divisors (see below), whose sum is σ = 223631230212. Its totient is φ = 186171655680.

The previous prime is 204400979963. The next prime is 204400979971. The reversal of 204400979969 is 969979004402.

It can be written as a sum of positive squares in 2 ways, for example, as 65439779344 + 138961200625 = 255812^2 + 372775^2 .

It is not a de Polignac number, because 204400979969 - 228 = 204132544513 is a prime.

It is a super-2 number, since 2×2044009799692 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (204400979963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6239432 + ... + 6272105.

It is an arithmetic number, because the mean of its divisors is an integer number (18635935851).

Almost surely, 2204400979969 is an apocalyptic number.

It is an amenable number.

204400979969 is a deficient number, since it is larger than the sum of its proper divisors (19230250243).

204400979969 is a wasteful number, since it uses less digits than its factorization.

204400979969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12511616 (or 12511585 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 59.

The spelling of 204400979969 in words is "two hundred four billion, four hundred million, nine hundred seventy-nine thousand, nine hundred sixty-nine".

Divisors: 1 17 31 527 961 16337 12511537 212696129 387857647 6593579999 12023587057 204400979969