One day a mysterious figure burst into the TYM Magic Shop and posed a puzzle.
Slapping down a huge amount of money on the counter, he said 'Divide 1023 dollars into a number of bags, so that I can ask for any amount between 1 dollar and 1023 dollars, and you can give me the proper amount by giving me a certain number of these bags without opening them.'
How many bags did the shopkeeper divide the money up into?

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