How did Avogadro get big?

 I noticed that, it i (3/2)^27 times more sample space than the proton. Actually make that (3/2)^10 if we discount the protons 17 magnetic modes.

Avogadro only counts electron. I counts electrons under the assumption that the center if infinitely small.   The electron cloud, free of the proton, has another axis of kinetic energy, mainly he electrons are no surface bound. So they are truly packing sphere, no making a salad bowl. Te Avogadro is dividing into a volume, so that appears as the additional 27 in 108 plus 27 in the Bayes exponent.  That paticular physics constant just tells us hoow accurate is measured Pi, as the physicists deliberately normalize the cloud to pi with the flat earth magnetochronometer.

Avogadro is the flat earth version of Horwitz maximum number of fractional approximations. But we are not finding a perfect cloud of electrons in reality.