Wikipedia says that the high-gain antenna has a beamwidth of 0.5° for X-band, and 2.3° for S-band.
You have: tan(0.5deg/2)*2*164astronomicalunit
You want: astronomicalunit
* 1.4311791
So it's so far that you could almost point it straight at the sun, and have the entire orbit of the Earth in the beam.23 watts, spread out in a cone the size of a planetary orbit.
https://en.wikipedia.org/wiki/Voyager_program#Communications