Turkmenistan

#154 of 193 countries

887563647826

That piece first turns up at decimal place 1,916,850,800 of π (about 1.9 billion digits in).

Turkmenistan is 12 digits on the keypad. We look up at most 10 digits at a time, so it is ranked by its longest piece we found: the 10 digits 8875636478.