cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A225194 Largest highly abundant number with n distinct prime factors.

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%I A225194 #15 Jun 26 2025 11:17:29
%S A225194 1,16,288,7200,604800,46569600,1816214400,92626934400,5573053886400,
%T A225194 445257673660800,11738611396512000,1734575477357923200,
%U A225194 98737373326527936000,8491414106081402496000,1697221394453020323888000,372257225850029124372768000
%N A225194 Largest highly abundant number with n distinct prime factors.
%C A225194 a(n) is the largest number in sequence A002093, with A001221(a(n)) = n.
%D A225194 Pillai, S. S., Highly abundant numbers, Bull. Calcutta Math. Soc., 35, (1943), 141-156
%H A225194 L. Alaoglu and P. Erdős, <a href="http://www.renyi.hu/~p_erdos/1944-03.pdf">On highly composite and similar numbers</a>, Trans. Amer. Math. Soc., 56 (1944), 448-469.
%H A225194 Wikipedia, <a href="http://en.wikipedia.org/wiki/Highly_abundant_number">Highly abundant number</a>
%Y A225194 Cf. A002093, A001222.
%Y A225194 Cf. A192929.
%K A225194 nonn
%O A225194 1,2
%A A225194 _Enrique Pérez Herrero_, May 01 2013