The largest number representable in 64 bits

This post is a rewrite of my earlier blog post from Nov 2023 with new insights and updates. A paper based on this blog post has been published in the journal Entropy at MDPI . ┬─┬ ┬─┬────────── ┬─┬─┬ ┬─┬──────────── └─┤ │ │ ──┬────── └─┤ │ │ │ ──┬──────── │ │ │ ┬─┼────── └─┤ │ │ ──┼─┬────── │ │ │ └─┤ ┬─┬── │ │ │ ┬─┼─┼────── │ │ │ │ ┼─┼─┬ │ │ │ └─┤ │ ┬─┬── │ │ │ │ │ ├─┘ │ │ │ └─┤ ┼─┼─┬ │ │ │ │ ├─┘…