Base | Representation |
---|---|
bin | 1000100010011100111… |
… | …10100111111111101000 |
3 | 1001001020202202001101200 |
4 | 10101032132213333220 |
5 | 14301312323131422 |
6 | 342435132044200 |
7 | 30124043325324 |
oct | 4211636477750 |
9 | 1031222661350 |
10 | 293374427112 |
11 | 103468241328 |
12 | 48a36603660 |
13 | 21885282390 |
14 | 102b1210984 |
15 | 7970ba62ac |
hex | 444e7a7fe8 |
293374427112 has 288 divisors, whose sum is σ = 884105553240. Its totient is φ = 87360307200.
The previous prime is 293374427111. The next prime is 293374427117. The reversal of 293374427112 is 211724473392.
293374427112 is a `hidden beast` number, since 2 + 9 + 3 + 374 + 4 + 271 + 1 + 2 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 68180520996 + 225193906116 = 261114^2 + 474546^2 .
It is not an unprimeable number, because it can be changed into a prime (293374427111) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 215557312 + ... + 215558672.
Almost surely, 2293374427112 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 293374427112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442052776620).
293374427112 is an abundant number, since it is smaller than the sum of its proper divisors (590731126128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
293374427112 is a wasteful number, since it uses less digits than its factorization.
293374427112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1605 (or 1557 counting only the distinct ones).
The product of its digits is 508032, while the sum is 45.
The spelling of 293374427112 in words is "two hundred ninety-three billion, three hundred seventy-four million, four hundred twenty-seven thousand, one hundred twelve".
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