| Base | Representation |
|---|---|
| bin | 10010010110000111… |
| … | …11110100000000000 |
| 3 | 221102102010200000000 |
| 4 | 21023003332200000 |
| 5 | 130132403040344 |
| 6 | 4305200000000 |
| 7 | 466034253465 |
| oct | 111303764000 |
| 9 | 27372120000 |
| 10 | 9849268224 |
| 11 | 41a4722aa4 |
| 12 | 1aaa600000 |
| 13 | c0c6c3483 |
| 14 | 69612766c |
| 15 | 3c9a36a69 |
| hex | 24b0fe800 |
9849268224 has 216 divisors, whose sum is σ = 29579388930. Its totient is φ = 3278610432.
The previous prime is 9849268217. The next prime is 9849268271. The reversal of 9849268224 is 4228629489.
9849268224 is a `hidden beast` number, since 98 + 492 + 68 + 2 + 2 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 5650228224 + 4199040000 = 75168^2 + 64800^2 .
It is a tau number, because it is divible by the number of its divisors (216).
It is a super-2 number, since 2×98492682242 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
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 17 ways as a sum of consecutive naturals, for example, 13436562 + ... + 13437294.
Almost surely, 29849268224 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 9849268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789694465).
9849268224 is an abundant number, since it is smaller than the sum of its proper divisors (19730120706).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9849268224 is an frugal number, since it uses more digits than its factorization.
9849268224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 779 (or 738 counting only the distinct ones).
The product of its digits is 3981312, while the sum is 54.
The square root of 9849268224 is about 99243.4795036933. The cubic root of 9849268224 is about 2143.5551167219. Note that the first 3 decimals are identical.
The spelling of 9849268224 in words is "nine billion, eight hundred forty-nine million, two hundred sixty-eight thousand, two hundred twenty-four".
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