Base | Representation |
---|---|
bin | 111100000110111… |
… | …0101110000000000 |
3 | 12012120010211101000 |
4 | 1320031311300000 |
5 | 13112311101302 |
6 | 532045012000 |
7 | 100660213203 |
oct | 17015656000 |
9 | 5176124330 |
10 | 2016893952 |
11 | 945536307 |
12 | 483554000 |
13 | 261b10a98 |
14 | 151c1593a |
15 | bc0ed31c |
hex | 78375c00 |
2016893952 has 88 divisors (see below), whose sum is σ = 5973146000. Its totient is φ = 672288768.
The previous prime is 2016893933. The next prime is 2016893969. The reversal of 2016893952 is 2593986102.
It is a super-3 number, since 3×20168939523 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 2016893898 and 2016893907.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8827 + ... + 64122.
Almost surely, 22016893952 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 2016893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986573000).
2016893952 is an abundant number, since it is smaller than the sum of its proper divisors (3956252048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2016893952 is an equidigital number, since it uses as much as digits as its factorization.
2016893952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72978 (or 72954 counting only the distinct ones).
The product of its (nonzero) digits is 233280, while the sum is 45.
The square root of 2016893952 is about 44909.8424846937. The cubic root of 2016893952 is about 1263.4586155594.
The spelling of 2016893952 in words is "two billion, sixteen million, eight hundred ninety-three thousand, nine hundred fifty-two".
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