# Holes in Numbers

Level pending

Have you ever noticed that $$0$$, $$6$$, $$8$$ and $$9$$ have holes in them?

An interesting problem is to count such holes in a given number.

For example, the number $$68724$$ and $$59013$$ have $$3$$ and $$2$$ holes respectively.

Counting the holes in relatively small numbers are pretty easy, but how about finding the holes in a 500 digits number?

How many holes are there in the 500-digits number?

You can find the number here.

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