Base | Representation |
---|---|
bin | 11110101100010001… |
… | …100101010000000000 |
3 | 10011001200202120100000 |
4 | 132230101211100000 |
5 | 1014442443424443 |
6 | 23050033200000 |
7 | 2244441253524 |
oct | 365421452000 |
9 | 104050676300 |
10 | 32955061248 |
11 | 12a8130030a |
12 | 6478700000 |
13 | 3152673b55 |
14 | 1848ab3d84 |
15 | ccd2928d3 |
hex | 7ac465400 |
32955061248 has 132 divisors (see below), whose sum is σ = 98682103520. Its totient is φ = 10984937472.
The previous prime is 32955061219. The next prime is 32955061259. The reversal of 32955061248 is 84216055923.
32955061248 is a `hidden beast` number, since 3 + 2 + 95 + 506 + 12 + 48 = 666.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182613 + ... + 315051.
Almost surely, 232955061248 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 32955061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49341051760).
32955061248 is an abundant number, since it is smaller than the sum of its proper divisors (65727042272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32955061248 is an equidigital number, since it uses as much as digits as its factorization.
32955061248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132474 (or 132444 counting only the distinct ones).
The product of its (nonzero) digits is 518400, while the sum is 45.
The spelling of 32955061248 in words is "thirty-two billion, nine hundred fifty-five million, sixty-one thousand, two hundred forty-eight".
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