What is the biggest lead that the Tour de France has ever been won with?

Explanation

The team competition in Tour de France is the agregrated time spent by all cyclists on all stages. The biggest gap the Tour de France was ever won with was 2 hours, 49 minutes and 45 seconds. This was back in 1903, where the Frenchman Maurice Garain beat his compatriot Lucien Pothier. In 2010, only 39 seconds divided Contador (Spain) and Andy Schleck (Luxembourg)