Base | Representation |
---|---|
bin | 10100000010101… |
… | …10111010000000 |
3 | 102201100210102201 |
4 | 22001112322000 |
5 | 321020100003 |
6 | 24403322544 |
7 | 4111031320 |
oct | 1201267200 |
9 | 381323381 |
10 | 168128128 |
11 | 869a4173 |
12 | 48380454 |
13 | 28aa82cc |
14 | 18487280 |
15 | eb60b1d |
hex | a056e80 |
168128128 has 64 divisors (see below), whose sum is σ = 395205120. Its totient is φ = 69719040.
The previous prime is 168128101. The next prime is 168128141. The reversal of 168128128 is 821821861.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24750 + ... + 30802.
It is an arithmetic number, because the mean of its divisors is an integer number (6175080).
Almost surely, 2168128128 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 168128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197602560).
168128128 is an abundant number, since it is smaller than the sum of its proper divisors (227076992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168128128 is an equidigital number, since it uses as much as digits as its factorization.
168128128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6105 (or 6093 counting only the distinct ones).
The product of its digits is 12288, while the sum is 37.
The square root of 168128128 is about 12966.4230996833. The cubic root of 168128128 is about 551.9250755971.
Adding to 168128128 its reverse (821821861), we get a palindrome (989949989).
The spelling of 168128128 in words is "one hundred sixty-eight million, one hundred twenty-eight thousand, one hundred twenty-eight".
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