Abstract
In this article, based on ideas and results by Sándor (J Inequal Pure Appl Math 2:Art. 3, 2001; J Inequal Pure Appl Math 5, 2004), we define k-multiplicatively e-perfect numbers and k-multiplicatively e-superperfect numbers and prove some results on them. We also characterize the k- $$T_0T^*$$ -perfect numbers defined by Das and Saikia (Notes Number Theory Discrete Math 19:37–42, 2013) in details.
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