Base | Representation |
---|---|
bin | 111101100001111100… |
… | …0111101110101101000 |
3 | 110122001202021100201210 |
4 | 1323003320331311220 |
5 | 4131103142244402 |
6 | 140411402313120 |
7 | 12355304204100 |
oct | 1730370756550 |
9 | 418052240653 |
10 | 132135509352 |
11 | 510470609a0 |
12 | 21737ab87a0 |
13 | c5ca446232 |
14 | 6576d5a200 |
15 | 368559206c |
hex | 1ec3e3dd68 |
132135509352 has 384 divisors, whose sum is σ = 434296442880. Its totient is φ = 33106752000.
The previous prime is 132135509339. The next prime is 132135509377. The reversal of 132135509352 is 253905531231.
It is a happy number.
It is a self number, because there is not a number n which added to its sum of digits gives 132135509352.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43165902 + ... + 43168962.
It is an arithmetic number, because the mean of its divisors is an integer number (1130980320).
Almost surely, 2132135509352 is an apocalyptic number.
132135509352 is a gapful number since it is divisible by the number (12) 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 132135509352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217148221440).
132135509352 is an abundant number, since it is smaller than the sum of its proper divisors (302160933528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132135509352 is a wasteful number, since it uses less digits than its factorization.
132135509352 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3213 (or 3202 counting only the distinct ones).
The product of its (nonzero) digits is 121500, while the sum is 39.
The spelling of 132135509352 in words is "one hundred thirty-two billion, one hundred thirty-five million, five hundred nine thousand, three hundred fifty-two".
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