Base | Representation |
---|---|
bin | 111101011110111111… |
… | …1101010100010000000 |
3 | 110121210212011100022221 |
4 | 1322331333222202000 |
5 | 4130402332230414 |
6 | 140353510340424 |
7 | 12352663412320 |
oct | 1727577524200 |
9 | 417725140287 |
10 | 132036601984 |
11 | 50aa6246371 |
12 | 2170a95a714 |
13 | c5b2ac5b71 |
14 | 6567b71280 |
15 | 367ba56224 |
hex | 1ebdfea880 |
132036601984 has 128 divisors (see below), whose sum is σ = 305702812800. Its totient is φ = 55633526784.
The previous prime is 132036601967. The next prime is 132036601987. The reversal of 132036601984 is 489106630231.
It is a tau number, because it is divible by the number of its divisors (128).
It is a self number, because there is not a number n which added to its sum of digits gives 132036601984.
It is not an unprimeable number, because it can be changed into a prime (132036601987) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35597122 + ... + 35600830.
It is an arithmetic number, because the mean of its divisors is an integer number (2388303225).
Almost surely, 2132036601984 is an apocalyptic number.
132036601984 is a gapful number since it is divisible by the number (14) 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 132036601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152851406400).
132036601984 is an abundant number, since it is smaller than the sum of its proper divisors (173666210816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132036601984 is an equidigital number, since it uses as much as digits as its factorization.
132036601984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4390 (or 4378 counting only the distinct ones).
The product of its (nonzero) digits is 186624, while the sum is 43.
The spelling of 132036601984 in words is "one hundred thirty-two billion, thirty-six million, six hundred one thousand, nine hundred eighty-four".
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