| Base | Representation |
|---|---|
| bin | 10001111101110001… |
| … | …10010001101000000 |
| 3 | 220220011210011012200 |
| 4 | 20332320302031000 |
| 5 | 124223110221210 |
| 6 | 4233021553200 |
| 7 | 461004132630 |
| oct | 107670621500 |
| 9 | 26804704180 |
| 10 | 9645007680 |
| 11 | 40aa3a0030 |
| 12 | 1a52115800 |
| 13 | ba92a6b49 |
| 14 | 676d566c0 |
| 15 | 3b6b3a0c0 |
| hex | 23ee32340 |
9645007680 has 1344 divisors, whose sum is σ = 45281673216. Its totient is φ = 1824768000.
The previous prime is 9645007667. The next prime is 9645007727. The reversal of 9645007680 is 867005469.
9645007680 is a `hidden beast` number, since 9 + 64 + 500 + 7 + 6 + 80 = 666.
It is a Cunningham number, because it is equal to 982092-1.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-3 number, since 3×96450076803 (a number of 31 digits) contains 333 as substring.
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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158114850 + ... + 158114910.
Almost surely, 29645007680 is an apocalyptic number.
9645007680 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 9645007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22640836608).
9645007680 is an abundant number, since it is smaller than the sum of its proper divisors (35636665536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9645007680 is a wasteful number, since it uses less digits than its factorization.
9645007680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 156 (or 143 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 9645007680 is about 98208.9999949088. Note that the first 5 decimals coincide. The cubic root of 9645007680 is about 2128.6333360886.
It can be divided in two parts, 964 and 5007680, that added together give a square (5008644 = 22382).
The spelling of 9645007680 in words is "nine billion, six hundred forty-five million, seven thousand, six hundred eighty".
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