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A181309
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Highly composite numbers that are not highly abundant numbers.
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3
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OFFSET
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1,1
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COMMENTS
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From Matthew Vandermast: Alaoglu and Erdos state on page 463 (just before Theorem 18) that "only a finite number of highly abundant numbers can be highly composite." What is the largest number in the intersection of the two sequences?
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LINKS
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EXAMPLE
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n1 = 1084045767585249647898720000 is not highly abundant because the smaller number
n0 = 1082074775280549193993449600 has a larger sum of divisors:
sigma(n1) = 7737797730196290039762124800
sigma(n0) = 7744678597340808238596096000
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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