Base | Representation |
---|---|
bin | 10000100110011010… |
… | …000010110000100000 |
3 | 1201000012102201111200 |
4 | 100212122002300200 |
5 | 243001000333212 |
6 | 12104403041200 |
7 | 1200462313251 |
oct | 204632026040 |
9 | 51005381450 |
10 | 17824230432 |
11 | 761734a158 |
12 | 3555370200 |
13 | 18b09ab118 |
14 | c11354b28 |
15 | 6e4c386dc |
hex | 426682c20 |
17824230432 has 54 divisors (see below), whose sum is σ = 50694099183. Its totient is φ = 5940654912.
The previous prime is 17824230373. The next prime is 17824230433. The reversal of 17824230432 is 23403242871.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
17824230432 is a `hidden beast` number, since 178 + 24 + 2 + 30 + 432 = 666.
It can be written as a sum of positive squares in only one way, i.e., 8912115216 + 8912115216 = 94404^2 + 94404^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=94404.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (17824230433) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2261763 + ... + 2269629.
Almost surely, 217824230432 is an apocalyptic number.
17824230432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
17824230432 is an abundant number, since it is smaller than the sum of its proper divisors (32869868751).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
17824230432 is an frugal number, since it uses more digits than its factorization.
17824230432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15750 (or 7872 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The spelling of 17824230432 in words is "seventeen billion, eight hundred twenty-four million, two hundred thirty thousand, four hundred thirty-two".
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