Base | Representation |
---|---|
bin | 100111110011100000… |
… | …110011000101100000 |
3 | 11002022122011102222110 |
4 | 213303200303011200 |
5 | 1200012440321013 |
6 | 31345022035320 |
7 | 3042066265620 |
oct | 476340630540 |
9 | 132278142873 |
10 | 42740167008 |
11 | 1714278a080 |
12 | 8349718b40 |
13 | 4051990866 |
14 | 20d6498880 |
15 | 11a23532c3 |
hex | 9f3833160 |
42740167008 has 192 divisors, whose sum is σ = 140081356800. Its totient is φ = 11085120000.
The previous prime is 42740167003. The next prime is 42740167009. The reversal of 42740167008 is 80076104724.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42740167003) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5547543 + ... + 5555241.
It is an arithmetic number, because the mean of its divisors is an integer number (729590400).
Almost surely, 242740167008 is an apocalyptic number.
42740167008 is a gapful number since it is divisible by the number (48) 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 42740167008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70040678400).
42740167008 is an abundant number, since it is smaller than the sum of its proper divisors (97341189792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42740167008 is a wasteful number, since it uses less digits than its factorization.
42740167008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8481 (or 8473 counting only the distinct ones).
The product of its (nonzero) digits is 75264, while the sum is 39.
The spelling of 42740167008 in words is "forty-two billion, seven hundred forty million, one hundred sixty-seven thousand, eight".
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