The father wanted
A father wanted to divide his inheritance equally among all his sons and ordered: the eldest son would receive 1,000 CZK and one eighth of the remainder; the second would receive 2,000 CZK and one eighth of the new remainder; the third would receive 3,000 CZK and one eighth of the remaining amount; and so on until the entire amount was used up. How many sons were there, and what was the total inheritance?
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