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84561212736 = 263371113193183
BaseRepresentation
bin100111011000000111…
…1011011010101000000
322002021012211200121000
41032300033123111000
52341140132301421
6102502532132000
76052335306630
oct1166017332500
9262235750530
1084561212736
1132953666790
121447b467000
137c880c1570
14414285a6c0
1522edb4e226
hex13b03db540

84561212736 has 1792 divisors, whose sum is σ = 367047475200. Its totient is φ = 18363801600.

The previous prime is 84561212713. The next prime is 84561212753. The reversal of 84561212736 is 63721216548.

84561212736 is a `hidden beast` number, since 8 + 4 + 5 + 612 + 1 + 27 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 84561212691 and 84561212700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1018809751 + ... + 1018809833.

It is an arithmetic number, because the mean of its divisors is an integer number (204825600).

Almost surely, 284561212736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84561212736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183523737600).

84561212736 is an abundant number, since it is smaller than the sum of its proper divisors (282486262464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84561212736 is a wasteful number, since it uses less digits than its factorization.

84561212736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 84561212736 in words is "eighty-four billion, five hundred sixty-one million, two hundred twelve thousand, seven hundred thirty-six".