Alphabet $($GOOGL$)$ has yet to pay a dividend, but in spring $2018$ it announced it would repurchase $$8\mathrm{.}5$ billion worth of shares over the year. $($Actually$,$ the exact amount was $$8,589,869,056-$ known as a "perfect" number because it is equal to the sum of its divisors$).$ If the amount spent on share repurchases were expected to grow by $7\mathrm{.}1\%$ per year, and Alphabet's equity cost of capital is $8\%,$ estimate Alphabet's market capitalization. If Alphabet has $698$ million shares outstanding, what stock price does this correspond to$?$

The share price is $

$($Round to the nearest cent.$)$