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A225194 Largest highly abundant number with n distinct prime factors 1
1, 16, 288, 7200, 604800, 46569600, 1816214400, 92626934400, 5573053886400, 445257673660800, 11738611396512000, 1734575477357923200, 98737373326527936000, 8491414106081402496000, 1697221394453020323888000, 372257225850029124372768000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

REFERENCES

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

LINKS

Table of n, a(n) for n=1..16.

L. Alaoglu and P. Erdős, On highly composite and similar numbers, Trans. Amer. Math. Soc., 56 (1944), 448-469.

Wikipedia, Highly abundant number

CROSSREFS

Cf. A002093, A001222.

Cf. A192929

Sequence in context: A230347 A182608 A320763 * A027776 A140770 A099279

Adjacent sequences:  A225191 A225192 A225193 * A225195 A225196 A225197

KEYWORD

nonn

AUTHOR

Enrique Pérez Herrero, May 01 2013

STATUS

approved

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Last modified December 6 22:42 EST 2021. Contains 349567 sequences. (Running on oeis4.)