Apple Corporation has $15$ billion shares outstanding, currently trading at $$178\mathrm{.}23$ per share. The company recently announced a $$90$ billion stock repurchase. Suppose you own $1,000$ Apple shares and would prefer a special dividend to a stock repurchase. How many Apple shares would you have to sell to synthesise a homemade special dividend out of Apple's share repurchase plan? You may assume a perfect capital market and that the market capitalisation of Apple does not change before the stock repurchase plan is executed. $($Enter your answer as a number rounded to the nearest unit.$)$