Base | Representation |
---|---|
bin | 10010000011100101… |
… | …00000010110110000 |
3 | 221000120101122102000 |
4 | 21001302200112300 |
5 | 124323041141420 |
6 | 4241521254000 |
7 | 462135014451 |
oct | 110162402660 |
9 | 27016348360 |
10 | 9693693360 |
11 | 412492332a |
12 | 1a66494300 |
13 | bb63c1c40 |
14 | 67d5cb128 |
15 | 3bb055690 |
hex | 241ca05b0 |
9693693360 has 320 divisors, whose sum is σ = 36458083200. Its totient is φ = 2352955392.
The previous prime is 9693693337. The next prime is 9693693407. The reversal of 9693693360 is 633963969.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 9693693297 and 9693693306.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2047476 + ... + 2052204.
It is an arithmetic number, because the mean of its divisors is an integer number (113931510).
Almost surely, 29693693360 is an apocalyptic number.
9693693360 is a gapful number since it is divisible by the number (90) 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 9693693360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229041600).
9693693360 is an abundant number, since it is smaller than the sum of its proper divisors (26764389840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9693693360 is a wasteful number, since it uses less digits than its factorization.
9693693360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4837 (or 4825 counting only the distinct ones).
The product of its (nonzero) digits is 4251528, while the sum is 54.
The square root of 9693693360 is about 98456.5556984399. Note that the first 3 decimals coincide. The cubic root of 9693693360 is about 2132.2089363411.
The spelling of 9693693360 in words is "nine billion, six hundred ninety-three million, six hundred ninety-three thousand, three hundred sixty".
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