Base | Representation |
---|---|
bin | 10100011011011001… |
… | …000011011110110000 |
3 | 2002121122102102100000 |
4 | 110123121003132300 |
5 | 324410200423133 |
6 | 14024310030000 |
7 | 1404361142316 |
oct | 243331033660 |
9 | 62548372300 |
10 | 21934389168 |
11 | 933643325a |
12 | 4301948300 |
13 | 20b738c203 |
14 | 10c11820b6 |
15 | 8859bd413 |
hex | 51b6437b0 |
21934389168 has 120 divisors (see below), whose sum is σ = 63730046016. Its totient is φ = 7303348800.
The previous prime is 21934389151. The next prime is 21934389187. The reversal of 21934389168 is 86198343912.
21934389168 is a `hidden beast` number, since 2 + 193 + 438 + 9 + 16 + 8 = 666.
It is a super-2 number, since 2×219343891682 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4239223 + ... + 4244393.
Almost surely, 221934389168 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 21934389168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31865023008).
21934389168 is an abundant number, since it is smaller than the sum of its proper divisors (41795656848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21934389168 is a wasteful number, since it uses less digits than its factorization.
21934389168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6285 (or 6267 counting only the distinct ones).
The product of its digits is 2239488, while the sum is 54.
The spelling of 21934389168 in words is "twenty-one billion, nine hundred thirty-four million, three hundred eighty-nine thousand, one hundred sixty-eight".
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