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84223759680 = 2632567436483
BaseRepresentation
bin100111001110000100…
…0001001010101000000
322001101200212022000200
41032130020021111000
52334442240302210
6102405235245200
76041100100524
oct1163410112500
9261350768020
1084223759680
11327a0131265
12143a6449800
137c3320c2b8
14410dad7d84
1522ce1e30c0
hex139c209540

84223759680 has 168 divisors, whose sum is σ = 294019114272. Its totient is φ = 22124399616.

The previous prime is 84223759667. The next prime is 84223759699. The reversal of 84223759680 is 8695732248.

84223759680 is a `hidden beast` number, since 8 + 42 + 2 + 3 + 7 + 596 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25282 + ... + 411201.

Almost surely, 284223759680 is an apocalyptic number.

84223759680 is a gapful number since it is divisible by the number (80) 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 84223759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147009557136).

84223759680 is an abundant number, since it is smaller than the sum of its proper divisors (209795354592).

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

84223759680 is a wasteful number, since it uses less digits than its factorization.

84223759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436573 (or 436560 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 84223759680 in words is "eighty-four billion, two hundred twenty-three million, seven hundred fifty-nine thousand, six hundred eighty".