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Although the prefixes are intended for any unit, it would not be in the way you suggest. The only example I can think of in the wild (other than for bit or byte) is the kibihertz (KiHz). For the metre it would be Kim (for kibimetre) and Mim (for mebimetre). Dondervogel 2 (talk) 07:58, 1 May 2023 (UTC)
Ok (!), KiHz is a good example, and we have some appeal in the ISO standards, ISO 266:1997 say explicitally: "Another series of frequencies that is in use is based on the definition of the octave as the frequency ratio 1:2. The frequencies of this series are calculated as powers of two (IEC 1260 base-two series).". PS: IEC 1260 was superseded by IEC-61260-1.
