| Base | Representation |
|---|---|
| bin | 10001000010011001… |
| … | …11110001000110000 |
| 3 | 212121110122212201200 |
| 4 | 20201030332020300 |
| 5 | 122213111423320 |
| 6 | 4111351331200 |
| 7 | 442446033543 |
| oct | 104114761060 |
| 9 | 25543585650 |
| 10 | 9146982960 |
| 11 | 3974262755 |
| 12 | 1933380b00 |
| 13 | b2a063b6b |
| 14 | 62ab5685a |
| 15 | 388062290 |
| hex | 22133e230 |
9146982960 has 120 divisors (see below), whose sum is σ = 30786943200. Its totient is φ = 2433770496.
The previous prime is 9146982917. The next prime is 9146982961. The reversal of 9146982960 is 692896419.
9146982960 is a `hidden beast` number, since 91 + 469 + 8 + 2 + 96 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a junction number, because it is equal to n+sod(n) for n = 9146982897 and 9146982906.
It is not an unprimeable number, because it can be changed into a prime (9146982961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315141 + ... + 342939.
It is an arithmetic number, because the mean of its divisors is an integer number (256557860).
Almost surely, 29146982960 is an apocalyptic number.
9146982960 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 9146982960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15393471600).
9146982960 is an abundant number, since it is smaller than the sum of its proper divisors (21639960240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9146982960 is a wasteful number, since it uses less digits than its factorization.
9146982960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28275 (or 28266 counting only the distinct ones).
The product of its (nonzero) digits is 1679616, while the sum is 54.
The square root of 9146982960 is about 95639.8607276276. The cubic root of 9146982960 is about 2091.3463208782.
The spelling of 9146982960 in words is "nine billion, one hundred forty-six million, nine hundred eighty-two thousand, nine hundred sixty".
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