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%I #11 Apr 19 2016 01:16:09
%S 23127045480000,120046268160000,33326072536680000
%N 5-Multiply SENSigma Perfect Number.
%C SENSigma(n)=5*n where SENSigma(m) = (-1)^((Sum_i r_i)+Omega(m))*Sum_{d|m} (-1)^((Sum_j r_j)+Omega(d))*d =Product_i (Sum_{1<=s_i<=r_i} p_i^s_i)+(-1)^(r_i+1) where m=Product_i p_i^r_i, d=Product_j p_j^r_j.
%C SEN is for Signed by Exponents of prime factors and Number of prime factors.
%C For instance, SENSigma(240) = (-1+2+4+8+16)*(1+3)*(1+5) = 696.
%F SENSigma(n)=Product_i (p_i^(r_i+1)-p_i)/(p_i-1)+(-1)^(r_i+1)
%e Factorizations:
%e 23127045480000 = 2^6*3^4*5^4*7^2*11*17*19*41.
%e 120046268160000 = 2^11*3^3*5^4*7^3*13*19*41.
%e 33326072536680000 = 2^6*3^4*5^4*7^2*11^2*17*19*41*131.
%K nonn,bref
%O 1,1
%A _Yasutoshi Kohmoto_, Jan 01 2007
%E New name and overall edit by _Michel Marcus_, Apr 27 2013
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