Base | Representation |
---|---|
bin | 100111011011000110… |
… | …0010000010100000000 |
3 | 22002112011200200000000 |
4 | 1032312030100110000 |
5 | 2341341211410410 |
6 | 102520500000000 |
7 | 6054660001365 |
oct | 1166614202400 |
9 | 262464620000 |
10 | 84661044480 |
11 | 329a4a52861 |
12 | 144a8990000 |
13 | 7ca29a65bc |
14 | 4151c0646c |
15 | 23077bddc0 |
hex | 13b6310500 |
84661044480 has 648 divisors, whose sum is σ = 322604434152. Its totient is φ = 21212430336.
The previous prime is 84661044451. The next prime is 84661044509. The reversal of 84661044480 is 8444016648.
84661044480 is a `hidden beast` number, since 8 + 4 + 66 + 104 + 4 + 480 = 666.
It is an interprime number because it is at equal distance from previous prime (84661044451) and next prime (84661044509).
It can be written as a sum of positive squares in 4 ways, for example, as 21447016704 + 63214027776 = 146448^2 + 251424^2 .
It is a tau number, because it is divible by the number of its divisors (648).
It is a Harshad number since it is a multiple of its sum of digits (45).
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 71 ways as a sum of consecutive naturals, for example, 142767064 + ... + 142767656.
It is an arithmetic number, because the mean of its divisors is an integer number (497846349).
Almost surely, 284661044480 is an apocalyptic number.
84661044480 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 84661044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161302217076).
84661044480 is an abundant number, since it is smaller than the sum of its proper divisors (237943389672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84661044480 is an frugal number, since it uses more digits than its factorization.
84661044480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 655 (or 620 counting only the distinct ones).
The product of its (nonzero) digits is 589824, while the sum is 45.
The spelling of 84661044480 in words is "eighty-four billion, six hundred sixty-one million, forty-four thousand, four hundred eighty".
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