Base | Representation |
---|---|
bin | 111101100101110111… |
… | …0101000101011010000 |
3 | 110122101220201202000000 |
4 | 1323023232220223100 |
5 | 4131340324101320 |
6 | 140432421130000 |
7 | 12361462053036 |
oct | 1731356505320 |
9 | 418356652000 |
10 | 132267018960 |
11 | 5110431401a |
12 | 21773b59900 |
13 | c61b76cb7b |
14 | 658a5d0556 |
15 | 3691dbcc90 |
hex | 1ecbba8ad0 |
132267018960 has 560 divisors, whose sum is σ = 495331511040. Its totient is φ = 32711454720.
The previous prime is 132267018929. The next prime is 132267018967. The reversal of 132267018960 is 69810762231.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132267018967) by changing a digit.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 70391301 + ... + 70393179.
Almost surely, 2132267018960 is an apocalyptic number.
132267018960 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 132267018960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665755520).
132267018960 is an abundant number, since it is smaller than the sum of its proper divisors (363064492080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132267018960 is a wasteful number, since it uses less digits than its factorization.
132267018960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1998 (or 1977 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The spelling of 132267018960 in words is "one hundred thirty-two billion, two hundred sixty-seven million, eighteen thousand, nine hundred sixty".
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