Base | Representation |
---|---|
bin | 100110010111011… |
… | …011111110100000 |
3 | 1122212012020101002 |
4 | 212113123332200 |
5 | 2304240144422 |
6 | 143512131132 |
7 | 21644113400 |
oct | 4627337640 |
9 | 1585166332 |
10 | 643678112 |
11 | 300380990 |
12 | 15b696aa8 |
13 | a347c62c |
14 | 616b6800 |
15 | 3b799692 |
hex | 265dbfa0 |
643678112 has 144 divisors (see below), whose sum is σ = 1635082848. Its totient is φ = 246597120.
The previous prime is 643678109. The next prime is 643678121. The reversal of 643678112 is 211876346.
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, 1155338 + ... + 1155894.
It is an arithmetic number, because the mean of its divisors is an integer number (11354742).
Almost surely, 2643678112 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 643678112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817541424).
643678112 is an abundant number, since it is smaller than the sum of its proper divisors (991404736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
643678112 is a wasteful number, since it uses less digits than its factorization.
643678112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 659 (or 644 counting only the distinct ones).
The product of its digits is 48384, while the sum is 38.
The square root of 643678112 is about 25370.8122061553. The cubic root of 643678112 is about 863.4216093486.
It can be divided in two parts, 6436 and 78112, that added together give a palindrome (84548).
The spelling of 643678112 in words is "six hundred forty-three million, six hundred seventy-eight thousand, one hundred twelve".
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