Sony NEX-6 has a Sony E lens mount and currently there are 152 native lenses available for this mount.
Sony NEX-6 doesn't have a sensor based image stabilization system but 34 of these lenses already comes with optical image stabilization.
Since Sony NEX-6 has a APS-C sensor, it has a focal length multiplier of 1.5x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on NEX-6.
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Sony NEX-6 Lenses with Image Stabilization
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