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A225194 Largest highly abundant number with n distinct prime factors 1

%I #13 Jan 12 2016 05:27:42

%S 1,16,288,7200,604800,46569600,1816214400,92626934400,5573053886400,

%T 445257673660800,11738611396512000,1734575477357923200,

%U 98737373326527936000,8491414106081402496000,1697221394453020323888000,372257225850029124372768000

%N Largest highly abundant number with n distinct prime factors

%C a(n) is the largest number in sequence A002093, with A001221(a(n)) = n.

%D Pillai, S. S., Highly abundant numbers, Bull. Calcutta Math. Soc., 35, (1943), 141-156

%H 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 Wikipedia, <a href="http://en.wikipedia.org/wiki/Highly_abundant_number">Highly abundant number</a>

%Y Cf. A002093, A001222.

%Y Cf. A192929

%K nonn

%O 1,2

%A _Enrique Pérez Herrero_, May 01 2013

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Last modified March 29 11:45 EDT 2024. Contains 371278 sequences. (Running on oeis4.)