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84017479680 = 21632531919
BaseRepresentation
bin100111000111111010…
…1010000000000000000
322000212022201012001200
41032033311100000000
52334031433322210
6102332550101200
76033013536231
oct1161765200000
9260768635050
1084017479680
11326a474a022
121434934a800
137bcc566724
1440d055d088
1522bb0480c0
hex138fd50000

84017479680 has 408 divisors, whose sum is σ = 300980958720. Its totient is φ = 21658337280.

The previous prime is 84017479673. The next prime is 84017479681. The reversal of 84017479680 is 8697471048.

It is a happy number.

84017479680 is a `hidden beast` number, since 8 + 401 + 74 + 7 + 96 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84017479681) by changing a digit.

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, 91422261 + ... + 91423179.

Almost surely, 284017479680 is an apocalyptic number.

84017479680 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 84017479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150490479360).

84017479680 is an abundant number, since it is smaller than the sum of its proper divisors (216963479040).

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

84017479680 is an equidigital number, since it uses as much as digits as its factorization.

84017479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 84017479680 in words is "eighty-four billion, seventeen million, four hundred seventy-nine thousand, six hundred eighty".