Base | Representation |
---|---|
bin | 10011011100110… |
… | …11111110000000 |
3 | 102101000210121000 |
4 | 21232123332000 |
5 | 313232340003 |
6 | 24105132000 |
7 | 4020622554 |
oct | 1156337600 |
9 | 371023530 |
10 | 163168128 |
11 | 841166a2 |
12 | 4678a000 |
13 | 27a5c7b6 |
14 | 17955864 |
15 | e4d11a3 |
hex | 9b9bf80 |
163168128 has 128 divisors (see below), whose sum is σ = 497433600. Its totient is φ = 52600320.
The previous prime is 163168127. The next prime is 163168133. The reversal of 163168128 is 821861361.
163168128 is a `hidden beast` number, since 1 + 631 + 6 + 8 + 12 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 163168092 and 163168101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (163168121) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106375 + ... + 107897.
It is an arithmetic number, because the mean of its divisors is an integer number (3886200).
Almost surely, 2163168128 is an apocalyptic number.
163168128 is a gapful number since it is divisible by the number (18) 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 163168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248716800).
163168128 is an abundant number, since it is smaller than the sum of its proper divisors (334265472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
163168128 is a wasteful number, since it uses less digits than its factorization.
163168128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1577 (or 1559 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 163168128 is about 12773.7280384389. The cubic root of 163168128 is about 546.4433061990.
The spelling of 163168128 in words is "one hundred sixty-three million, one hundred sixty-eight thousand, one hundred twenty-eight".
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