A number is called -hyperperfect if
References
Guy, R. K. ``Almost Perfect, Quasi-Perfect, Pseudoperfect, Harmonic, Weird, Multiperfect and Hyperperfect Numbers.''
§B2 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag,
pp. 45-53, 1994.
Sloane, N. J. A. Sequences
A007592/M5113
and A007593/M5121
in ``An On-Line Version of the Encyclopedia of Integer Sequences.''
http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.
The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.