User blog comment:Vel!/Limit of Communication/@comment-1605058-20130423055117

Obviously, we can send binary expansion of a number - but largest one'd be constant string of 1's representing \(2^{10^100}-1\), so not that much. I think best possible choice is translating monochromatic image to a string, like in Arecibo message. No other coding would be so obvious so we can code it in flat bitstring