A vacuum cleaner has a nozzle with an electric motor and a cleaning device driven thereby. A separate suction unit has an electric fan for drawing in air and a collector for separating dust from the drawn-in air. A suction conduit extends between the nozzle and the suction unit so the electric fan draws air and dust in through the nozzle, pulls it through the conduit, and separates the dust from the air in the collector. The conduit further has a rigid pipe having an outer end connected to the nozzle and an opposite inner end and a flexible hose connected between the inner end and the suction unit and opening into the collector. A power unit for the nozzle motor has a housing mounted on the pipe, a lithium-ion battery contained in the housing, and a control contained in the housing and operating the electric motor of the nozzle from the battery.