Base | Representation |
---|---|
bin | 10011011111010… |
… | …10010000000000 |
3 | 102101122002102120 |
4 | 21233222100000 |
5 | 313323120033 |
6 | 24120044240 |
7 | 4023426432 |
oct | 1157522000 |
9 | 371562376 |
10 | 163488768 |
11 | 84315593 |
12 | 46903680 |
13 | 27b42721 |
14 | 179da652 |
15 | e5461b3 |
hex | 9bea400 |
163488768 has 88 divisors (see below), whose sum is σ = 458855520. Its totient is φ = 51609600.
The previous prime is 163488737. The next prime is 163488769. The reversal of 163488768 is 867884361.
163488768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 163488768.
It is not an unprimeable number, because it can be changed into a prime (163488769) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56968 + ... + 59768.
Almost surely, 2163488768 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 163488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229427760).
163488768 is an abundant number, since it is smaller than the sum of its proper divisors (295366752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
163488768 is a wasteful number, since it uses less digits than its factorization.
163488768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2843 (or 2825 counting only the distinct ones).
The product of its digits is 1548288, while the sum is 51.
The square root of 163488768 is about 12786.2726390454. The cubic root of 163488768 is about 546.8010086910.
The spelling of 163488768 in words is "one hundred sixty-three million, four hundred eighty-eight thousand, seven hundred sixty-eight".
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