Saguzaharasat, the language of the Saguzahar uses a base-six number system. Each of their characters/syllables has a corresponding numerical value associated with it. Under normal usage, only the base numbers (zero through five) are used. However, for numerological purposes, each letter's value can be used to calculate a numerical value associated with a given word. This seems to reflect a shift in the way numbers are handled in the language over time. Indeed, the assignment of values to letters doesn't seem to have a sensical progression, and implies that the values were either assigned at random, have been changed eclectically over time, or that the alphabet once had a different arrangement.
Typical ordering favors a phonemic system (shown below)