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289084042720 = 2551137917183
BaseRepresentation
bin1000011010011101100…
…00000110110111100000
31000122011202121221110001
410031032300012313200
514214021003331340
6340445310145344
726612525551114
oct4151660066740
91018152557401
10289084042720
11101666451000
12480397b2254
132135044b7a5
14ddc54ab744
1577be1c129a
hex434ec06de0

289084042720 has 192 divisors, whose sum is σ = 760759050240. Its totient is φ = 103784778240.

The previous prime is 289084042703. The next prime is 289084042739. The reversal of 289084042720 is 27240480982.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 16815249 + ... + 16832431.

It is an arithmetic number, because the mean of its divisors is an integer number (3962286720).

Almost surely, 2289084042720 is an apocalyptic number.

289084042720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289084042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380379525120).

289084042720 is an abundant number, since it is smaller than the sum of its proper divisors (471675007520).

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

289084042720 is a wasteful number, since it uses less digits than its factorization.

289084042720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17310 (or 17280 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 289084042720 in words is "two hundred eighty-nine billion, eighty-four million, forty-two thousand, seven hundred twenty".