Base | Representation |
---|---|
bin | 101001101010000110… |
… | …0100001101001000000 |
3 | 22112220120122100021200 |
4 | 1103110030201221000 |
5 | 2431203101233412 |
6 | 105032545221200 |
7 | 6314613230010 |
oct | 1232414415100 |
9 | 275816570250 |
10 | 89459399232 |
11 | 34a375537a5 |
12 | 15407931800 |
13 | 8588b23078 |
14 | 44891b7c40 |
15 | 24d8b939dc |
hex | 14d4321a40 |
89459399232 has 336 divisors, whose sum is σ = 303232011264. Its totient is φ = 24675840000.
The previous prime is 89459399219. The next prime is 89459399233. The reversal of 89459399232 is 23299395498.
89459399232 is a `hidden beast` number, since 8 + 9 + 4 + 5 + 9 + 399 + 232 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-2 number, since 2×894593992322 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 89459399232.
It is not an unprimeable number, because it can be changed into a prime (89459399233) 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 47 ways as a sum of consecutive naturals, for example, 87618882 + ... + 87619902.
It is an arithmetic number, because the mean of its divisors is an integer number (902476224).
Almost surely, 289459399232 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 89459399232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151616005632).
89459399232 is an abundant number, since it is smaller than the sum of its proper divisors (213772612032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
89459399232 is a wasteful number, since it uses less digits than its factorization.
89459399232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1778 (or 1765 counting only the distinct ones).
The product of its digits is 37791360, while the sum is 63.
The spelling of 89459399232 in words is "eighty-nine billion, four hundred fifty-nine million, three hundred ninety-nine thousand, two hundred thirty-two".
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