Base | Representation |
---|---|
bin | 11110001100011100… |
… | …010011011101001000 |
3 | 10002200110211111110000 |
4 | 132030130103131020 |
5 | 1012344234013112 |
6 | 22521034323000 |
7 | 2225264650620 |
oct | 361434233510 |
9 | 102613744400 |
10 | 32421001032 |
11 | 1282789aa32 |
12 | 6349889460 |
13 | 3098b249a4 |
14 | 17d7bb3880 |
15 | c9b44c7dc |
hex | 78c713748 |
32421001032 has 160 divisors (see below), whose sum is σ = 104000022720. Its totient is φ = 9243642240.
The previous prime is 32421001021. The next prime is 32421001099. The reversal of 32421001032 is 23010012423.
It is a super-3 number, since 3×324210010323 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 32421000996 and 32421001014.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2219898 + ... + 2234454.
It is an arithmetic number, because the mean of its divisors is an integer number (650000142).
Almost surely, 232421001032 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 32421001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52000011360).
32421001032 is an abundant number, since it is smaller than the sum of its proper divisors (71579021688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32421001032 is a wasteful number, since it uses less digits than its factorization.
32421001032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15073 (or 15060 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 32421001032 its reverse (23010012423), we get a palindrome (55431013455).
The spelling of 32421001032 in words is "thirty-two billion, four hundred twenty-one million, one thousand, thirty-two".
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