Base | Representation |
---|---|
bin | 111101100101111100… |
… | …0100011100000010000 |
3 | 110122102002121211212210 |
4 | 1323023320203200100 |
5 | 4131342010303331 |
6 | 140432552552120 |
7 | 12361523133000 |
oct | 1731370434020 |
9 | 418362554783 |
10 | 132269619216 |
11 | 5110582a699 |
12 | 217749b2640 |
13 | c61c170597 |
14 | 658aaaa000 |
15 | 3692233446 |
hex | 1ecbe23810 |
132269619216 has 320 divisors, whose sum is σ = 406973952000. Its totient is φ = 36994212864.
The previous prime is 132269619211. The next prime is 132269619217. The reversal of 132269619216 is 612916962231.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is not an unprimeable number, because it can be changed into a prime (132269619211) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 200712295 + ... + 200712953.
It is an arithmetic number, because the mean of its divisors is an integer number (1271793600).
Almost surely, 2132269619216 is an apocalyptic number.
132269619216 is a gapful number since it is divisible by the number (16) 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 132269619216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203486976000).
132269619216 is an abundant number, since it is smaller than the sum of its proper divisors (274704332784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132269619216 is a wasteful number, since it uses less digits than its factorization.
132269619216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 931 (or 911 counting only the distinct ones).
The product of its digits is 419904, while the sum is 48.
The spelling of 132269619216 in words is "one hundred thirty-two billion, two hundred sixty-nine million, six hundred nineteen thousand, two hundred sixteen".
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