| Base | Representation |
|---|---|
| bin | 11110101110101001… |
| … | …000110011110000000 |
| 3 | 10011011110111112200000 |
| 4 | 132232221012132000 |
| 5 | 1020033130443211 |
| 6 | 23054012400000 |
| 7 | 2245433003646 |
| oct | 365651063600 |
| 9 | 104143445600 |
| 10 | 32994781056 |
| 11 | 12aa176a3a6 |
| 12 | 6489a76000 |
| 13 | 315a96ccb3 |
| 14 | 1850093196 |
| 15 | cd19db656 |
| hex | 7aea46780 |
32994781056 has 384 divisors, whose sum is σ = 107047449600. Its totient is φ = 10077696000.
The previous prime is 32994781051. The next prime is 32994781063. The reversal of 32994781056 is 65018749923.
32994781056 is a `hidden beast` number, since 32 + 99 + 478 + 1 + 0 + 56 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 32994780993 and 32994781011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (32994781051) 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 47 ways as a sum of consecutive naturals, for example, 18319356 + ... + 18321156.
It is an arithmetic number, because the mean of its divisors is an integer number (278769400).
It is a 1-persistent number, because it is pandigital, but 2⋅32994781056 = 65989562112 is not.
Almost surely, 232994781056 is an apocalyptic number.
32994781056 is a gapful number since it is divisible by the number (36) 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 32994781056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53523724800).
32994781056 is an abundant number, since it is smaller than the sum of its proper divisors (74052668544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32994781056 is a wasteful number, since it uses less digits than its factorization.
32994781056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1880 (or 1856 counting only the distinct ones).
The product of its (nonzero) digits is 3265920, while the sum is 54.
The spelling of 32994781056 in words is "thirty-two billion, nine hundred ninety-four million, seven hundred eighty-one thousand, fifty-six".
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