Maximum Earth population by wiping out biological life

I want to create a world set on our Earth but with humans converted entirely to machines, so the population can be larger than would be possible with biological humans.

In contrast to biologically shrinking humans, as the population increases they transfer their minds into machines that can sustain an entire human mind without the need for a brain. Some of these have robot bodies, others exist only as computers. Over time as the population increases all other life is wiped out, and human machines exist as a maximised population on a planet devoid of biological humans or any other biological creatures (no need to explicitly wipe out microbes, but no effort is made to support them - all energy gathered is used for the human machines).

If they make use of the entire surface of the Earth, collecting as much solar power as possible without overheating the Earth beyond what the machines can withstand (no need to preserve biological life) what is the maximum population that could be sustained long term?

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Maximum Earth population by wiping out biological life

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