| Base | Representation |
|---|---|
| bin | 10100000110001… |
| … | …00011100000000 |
| 3 | 102202012120212000 |
| 4 | 22003010130000 |
| 5 | 321123424033 |
| 6 | 24421104000 |
| 7 | 4114610313 |
| oct | 1203043400 |
| 9 | 382176760 |
| 10 | 168576768 |
| 11 | 87180248 |
| 12 | 48558000 |
| 13 | 28c04589 |
| 14 | 1856297a |
| 15 | ebeda13 |
| hex | a0c4700 |
168576768 has 144 divisors (see below), whose sum is σ = 516314400. Its totient is φ = 54254592.
The previous prime is 168576763. The next prime is 168576781. The reversal of 168576768 is 867675861.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
168576768 is a `hidden beast` number, since 1 + 6 + 8 + 576 + 7 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (54).
Its product of digits (3386880) is a multiple of the sum of its prime factors (112).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (168576761) 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, 5812978 + ... + 5813006.
Almost surely, 2168576768 is an apocalyptic number.
168576768 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 168576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258157200).
168576768 is an abundant number, since it is smaller than the sum of its proper divisors (347737632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168576768 is an frugal number, since it uses more digits than its factorization.
168576768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 112 (or 34 counting only the distinct ones).
The product of its digits is 3386880, while the sum is 54.
The square root of 168576768 is about 12983.7116418996. The cubic root of 168576768 is about 552.4155660849.
Multiplying 168576768 by its sum of digits (54), we get a cube (9103145472 = 20883).
The spelling of 168576768 in words is "one hundred sixty-eight million, five hundred seventy-six thousand, seven hundred sixty-eight".
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