A turbocharger system for an internal combustion engine having at least one exhaust line (15, 16) for evacuating exhaust gases from the combustion chamber of the engine and at least on inlet line for supplying air to the combustion chamber. A high-pressure turbine (17) interacts with a high-pressure compressor (19) and a low-pressure turbine (21) interacts with a low-pressure compressor (23) in order to extract energy from the exhaust flow of the engine and pressurize the inlet air of the engine. Both compressor stages are of the radial type and are provided with compressor wheels having backswept blades, in which a blade angle between an imaginary extension of the blade along the centerline between root section and tip section in the direction of the outlet tangent and a line connecting the center axis of the compressor wheel to the outer point of the blade, is at least about 40 degrees. The high-pressure turbine (17) is of the radial type and is connected to the low-pressure turbine by a short intermediate duct (20). The low-pressure turbine (21 ) is provided with inlet guide rails (34).