Base | Representation |
---|---|
bin | 10000110000111010… |
… | …001100101110000000 |
3 | 1201110110222200121200 |
4 | 100300322030232000 |
5 | 243331102311000 |
6 | 12134055421200 |
7 | 1205032101405 |
oct | 206072145600 |
9 | 51413880550 |
10 | 18000432000 |
11 | 76a7857a91 |
12 | 35a4384800 |
13 | 190b3520c5 |
14 | c2a9002ac |
15 | 705441500 |
hex | 430e8cb80 |
18000432000 has 192 divisors, whose sum is σ = 64644568560. Its totient is φ = 4800076800.
The previous prime is 18000431987. The next prime is 18000432019. The reversal of 18000432000 is 23400081.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-3 number, since 3×180004320003 (a number of 32 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81499 + ... + 206501.
Almost surely, 218000432000 is an apocalyptic number.
18000432000 is a gapful number since it is divisible by the number (10) 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 18000432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32322284280).
18000432000 is an abundant number, since it is smaller than the sum of its proper divisors (46644136560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18000432000 is a wasteful number, since it uses less digits than its factorization.
18000432000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 125038 (or 125013 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 18000432000 its reverse (23400081), we get a palindrome (18023832081).
The spelling of 18000432000 in words is "eighteen billion, four hundred thirty-two thousand".
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