Base | Representation |
---|---|
bin | 1011000100110100… |
… | …01110001000000000 |
3 | 120100101110111122220 |
4 | 11202122032020000 |
5 | 44134134224224 |
6 | 2422003331040 |
7 | 300230143323 |
oct | 54232161000 |
9 | 16311414586 |
10 | 5946008064 |
11 | 2581403957 |
12 | 119b380a80 |
13 | 739b43689 |
14 | 4059967ba |
15 | 24c020279 |
hex | 16268e200 |
5946008064 has 80 divisors (see below), whose sum is σ = 15856663680. Its totient is φ = 1979985920.
The previous prime is 5946008021. The next prime is 5946008071. The reversal of 5946008064 is 4608006495.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2872822 + ... + 2874890.
It is an arithmetic number, because the mean of its divisors is an integer number (198208296).
Almost surely, 25946008064 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 5946008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928331840).
5946008064 is an abundant number, since it is smaller than the sum of its proper divisors (9910655616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5946008064 is a wasteful number, since it uses less digits than its factorization.
5946008064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3961 (or 3945 counting only the distinct ones).
The product of its (nonzero) digits is 207360, while the sum is 42.
The square root of 5946008064 is about 77110.3628833375. The cubic root of 5946008064 is about 1811.6536136950.
The spelling of 5946008064 in words is "five billion, nine hundred forty-six million, eight thousand, sixty-four".
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