Base | Representation |
---|---|
bin | 1101101100101011101… |
… | …1001111010000100000 |
3 | 211111102202002220011200 |
4 | 3123022323033100200 |
5 | 12323430141314413 |
6 | 300035501441200 |
7 | 23000523313611 |
oct | 3331273172040 |
9 | 744382086150 |
10 | 235332760608 |
11 | 90893232200 |
12 | 39738570200 |
13 | 1926547130a |
14 | b56688bc08 |
15 | 61c5335573 |
hex | 36caecf420 |
235332760608 has 216 divisors, whose sum is σ = 736360898364. Its totient is φ = 71238942720.
The previous prime is 235332760567. The next prime is 235332760667. The reversal of 235332760608 is 806067233532.
235332760608 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 32 + 7 + 6 + 0 + 608 = 666.
235332760608 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 194491584144 + 40841176464 = 441012^2 + 202092^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40176816 + ... + 40182672.
Almost surely, 2235332760608 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 235332760608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368180449182).
235332760608 is an abundant number, since it is smaller than the sum of its proper divisors (501028137756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235332760608 is a wasteful number, since it uses less digits than its factorization.
235332760608 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7048 (or 7026 counting only the distinct ones).
The product of its (nonzero) digits is 1088640, while the sum is 45.
The spelling of 235332760608 in words is "two hundred thirty-five billion, three hundred thirty-two million, seven hundred sixty thousand, six hundred eight".
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