Draft:1,978,419,655,660,313,589,123,979

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Template:Infobox number 1,978,419,655,660,313,589,123,979 is the interger following 1,978,419,655,660,313,589,123,978 and preceding 1,978,419,655,660,313,589,123,980.

Properties

Here are some properties of this number:.

• 1,978,419,655,660,313,589,123,979 is equal to 19^19, or 19^^2
• It is a power of 19.
• It is a solution for n in which:
  • $a^n+b^n+c^n+...,$ where $a*b*c*...$ is the prime factorization of n
  • $a(n)=(2n+1{)}^{(2n+1)}$
  • $a(n)=n^{rad(n)}$
  • $a({p_1}^{e_1}*{p_2}^{e_2}*.....*{p_m}^{e_m})={p_1}^{{p_1}^{e_1}}*{p_2}^{p^{2^{e_2}}}*.....*{p_m}^{{p_m}^{e_m}}$ where ${p_1}^{e_1}*{p_2}^{e_2}*.....*{p_m}^{e_m}$ is the prime decomposition of n
  • $a(n)=n^{phi(n)+1},phi(n)$
  • $n=(tau(n)-1{)}^k$ with k as an integer
  • $n^{(}p1)+n^{(}p2)+n^{(}p3)+...$where$(p1)*(p2)*(p3)*....$is the prime factorization of n (with multiplicity).
  • n to the power of the smallest prime divisor of n
  • Möbius transform of $sigm{a}_n(n)$
  • n to the power of the largest prime divisor of nw
• It is a perfect-4 composite.
• It is a number of the form n^n which contain n as a substring in base 10.
• It is a tetration that isn't a pentation
• It is derived from the von Mangoldt matrix sequence.
• It is the smallest pandigital number of the form p^p where p is prime.
• There are 1,978,419,655,660,313,589,123,979 possible baseball bat models