Base | Representation |
---|---|
bin | 111101110001111111… |
… | …1010101001100110100 |
3 | 110200110021122000000000 |
4 | 1323203333111030310 |
5 | 4133204024030240 |
6 | 140541041151300 |
7 | 12404533544025 |
oct | 1734377251464 |
9 | 420407560000 |
10 | 132674048820 |
11 | 512a3050635 |
12 | 2186832b530 |
13 | c684ba3141 |
14 | 65c86a4c4c |
15 | 36b79be430 |
hex | 1ee3fd5334 |
132674048820 has 240 divisors, whose sum is σ = 425868347520. Its totient is φ = 34706745216.
The previous prime is 132674048797. The next prime is 132674048839. The reversal of 132674048820 is 28840476231.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20860801 + ... + 20867159.
It is an arithmetic number, because the mean of its divisors is an integer number (1774451448).
Almost surely, 2132674048820 is an apocalyptic number.
132674048820 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 132674048820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212934173760).
132674048820 is an abundant number, since it is smaller than the sum of its proper divisors (293194298700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132674048820 is an frugal number, since it uses more digits than its factorization.
132674048820 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6448 (or 6422 counting only the distinct ones).
The product of its (nonzero) digits is 516096, while the sum is 45.
The spelling of 132674048820 in words is "one hundred thirty-two billion, six hundred seventy-four million, forty-eight thousand, eight hundred twenty".
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