Base | Representation |
---|---|
bin | 10001010011110101… |
… | …11000001000000000 |
3 | 212222122212020101100 |
4 | 20221322320020000 |
5 | 123013032002223 |
6 | 4134054134400 |
7 | 446203122453 |
oct | 105172701000 |
9 | 25878766340 |
10 | 9293234688 |
11 | 3a39874851 |
12 | 1974351400 |
13 | b5144c94a |
14 | 64234749a |
15 | 395d01043 |
hex | 229eb8200 |
9293234688 has 120 divisors (see below), whose sum is σ = 28398844188. Its totient is φ = 2915500032.
The previous prime is 9293234683. The next prime is 9293234693. The reversal of 9293234688 is 8864323929.
It is a happy number.
9293234688 is a `hidden beast` number, since 9 + 293 + 2 + 346 + 8 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (9293234683) and next prime (9293234693).
It can be written as a sum of positive squares in 2 ways, for example, as 8573278464 + 719956224 = 92592^2 + 26832^2 .
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (9293234681) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19020 + ... + 137652.
Almost surely, 29293234688 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 9293234688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14199422094).
9293234688 is an abundant number, since it is smaller than the sum of its proper divisors (19105609500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9293234688 is a wasteful number, since it uses less digits than its factorization.
9293234688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 118674 (or 118655 counting only the distinct ones).
The product of its digits is 4478976, while the sum is 54.
The square root of 9293234688 is about 96401.4247197623. The cubic root of 9293234688 is about 2102.4336629237.
The spelling of 9293234688 in words is "nine billion, two hundred ninety-three million, two hundred thirty-four thousand, six hundred eighty-eight".
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