Base | Representation |
---|---|
bin | 1101011011100001100… |
… | …1111001011010000000 |
3 | 211001112202200020001000 |
4 | 3112320121321122000 |
5 | 12240012112010133 |
6 | 253554453412000 |
7 | 22445426451360 |
oct | 3267031713200 |
9 | 731482606030 |
10 | 230727063168 |
11 | 8993a459588 |
12 | 3887203a000 |
13 | 189b020a964 |
14 | b24ad0a9a0 |
15 | 6005d19413 |
hex | 35b8679680 |
230727063168 has 512 divisors, whose sum is σ = 795531456000. Its totient is φ = 64475136000.
The previous prime is 230727063109. The next prime is 230727063169. The reversal of 230727063168 is 861360727032.
230727063168 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 2 + 7 + 0 + 631 + 6 + 8 = 666.
It is not an unprimeable number, because it can be changed into a prime (230727063169) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217461358 + ... + 217462418.
It is an arithmetic number, because the mean of its divisors is an integer number (1553772375).
Almost surely, 2230727063168 is an apocalyptic number.
230727063168 is a gapful number since it is divisible by the number (28) 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 230727063168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397765728000).
230727063168 is an abundant number, since it is smaller than the sum of its proper divisors (564804392832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230727063168 is a wasteful number, since it uses less digits than its factorization.
230727063168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1281 (or 1263 counting only the distinct ones).
The product of its (nonzero) digits is 508032, while the sum is 45.
The spelling of 230727063168 in words is "two hundred thirty billion, seven hundred twenty-seven million, sixty-three thousand, one hundred sixty-eight".
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