Base | Representation |
---|---|
bin | 111101101100010001… |
… | …0111001001110000000 |
3 | 110122221220100012000000 |
4 | 1323120202321032000 |
5 | 4132310400413200 |
6 | 140510022000000 |
7 | 12400012541400 |
oct | 1733042711600 |
9 | 418856305000 |
10 | 132482044800 |
11 | 5120472a126 |
12 | 21813b76000 |
13 | c6541884b1 |
14 | 65aada4800 |
15 | 36a5be4300 |
hex | 1ed88b9380 |
132482044800 has 2016 divisors, whose sum is σ = 610686862200. Its totient is φ = 28217548800.
The previous prime is 132482044741. The next prime is 132482044813. The reversal of 132482044800 is 8440284231.
132482044800 is a `hidden beast` number, since 132 + 4 + 82 + 0 + 448 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2016).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
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 251 ways as a sum of consecutive naturals, for example, 2171836770 + ... + 2171836830.
Almost surely, 2132482044800 is an apocalyptic number.
132482044800 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 132482044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305343431100).
132482044800 is an abundant number, since it is smaller than the sum of its proper divisors (478204817400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132482044800 is an equidigital number, since it uses as much as digits as its factorization.
132482044800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 136 (or 97 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 36.
The spelling of 132482044800 in words is "one hundred thirty-two billion, four hundred eighty-two million, forty-four thousand, eight hundred".
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