Base | Representation |
---|---|
bin | 10010100001101100… |
… | …01101100010000000 |
3 | 221200011202120020000 |
4 | 21100312031202000 |
5 | 130332224314242 |
6 | 4322544120000 |
7 | 501323231310 |
oct | 112066154200 |
9 | 27604676200 |
10 | 9946323072 |
11 | 4244492814 |
12 | 1b17006000 |
13 | c2684558a |
14 | 6a4d8d440 |
15 | 3d3308a4c |
hex | 250d8d880 |
9946323072 has 320 divisors, whose sum is σ = 35614075200. Its totient is φ = 2691864576.
The previous prime is 9946323043. The next prime is 9946323119. The reversal of 9946323072 is 2703236499.
9946323072 is a `hidden beast` number, since 9 + 9 + 4 + 632 + 3 + 0 + 7 + 2 = 666.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1375338 + ... + 1382550.
It is an arithmetic number, because the mean of its divisors is an integer number (111293985).
Almost surely, 29946323072 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 9946323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17807037600).
9946323072 is an abundant number, since it is smaller than the sum of its proper divisors (25667752128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9946323072 is a wasteful number, since it uses less digits than its factorization.
9946323072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7265 (or 7244 counting only the distinct ones).
The product of its (nonzero) digits is 489888, while the sum is 45.
The square root of 9946323072 is about 99731.2542385786. The cubic root of 9946323072 is about 2150.5729911055.
The spelling of 9946323072 in words is "nine billion, nine hundred forty-six million, three hundred twenty-three thousand, seventy-two".
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