Base | Representation |
---|---|
bin | 1000010101100011011111… |
… | …0001101110001010010000 |
3 | 1012110022001220012222002200 |
4 | 2011120313301232022100 |
5 | 2200140234333200142 |
6 | 31254552330043200 |
7 | 1634151560232504 |
oct | 205306761561220 |
9 | 35408056188080 |
10 | 9166395990672 |
11 | 2a144a0629798 |
12 | 1040613579500 |
13 | 516506261a7b |
14 | 239927c48304 |
15 | 10d68b92264c |
hex | 85637c6e290 |
9166395990672 has 120 divisors (see below), whose sum is σ = 26549821059840. Its totient is φ = 2948764788480.
The previous prime is 9166395990659. The next prime is 9166395990707. The reversal of 9166395990672 is 2760995936619.
9166395990672 is a `hidden beast` number, since 9 + 166 + 395 + 9 + 9 + 0 + 6 + 72 = 666.
It is a super-3 number, since 3×91663959906723 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 9166395990672.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8719147 + ... + 9713717.
It is an arithmetic number, because the mean of its divisors is an integer number (221248508832).
Almost surely, 29166395990672 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 9166395990672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274910529920).
9166395990672 is an abundant number, since it is smaller than the sum of its proper divisors (17383425069168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9166395990672 is a wasteful number, since it uses less digits than its factorization.
9166395990672 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 996821 (or 996812 counting only the distinct ones).
The product of its (nonzero) digits is 297606960, while the sum is 72.
The spelling of 9166395990672 in words is "nine trillion, one hundred sixty-six billion, three hundred ninety-five million, nine hundred ninety thousand, six hundred seventy-two".
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