| Base | Representation |
|---|---|
| bin | 1111001110100001011001… |
| … | …01011101010010000000000 |
| 3 | 11101120001212110111001102200 |
| 4 | 13213100230223222100000 |
| 5 | 13342101334024313433 |
| 6 | 155114252023113200 |
| 7 | 10024106350462644 |
| oct | 747205453522000 |
| 9 | 141501773431380 |
| 10 | 33484314682368 |
| 11 | a73a688781a00 |
| 12 | 39095992a2800 |
| 13 | 158b7325a2684 |
| 14 | 83a91424ac24 |
| 15 | 3d100d0b9613 |
| hex | 1e742caea400 |
33484314682368 has 396 divisors, whose sum is σ = 106313585343420. Its totient is φ = 10142968872960.
The previous prime is 33484314682363. The next prime is 33484314682397. The reversal of 33484314682368 is 86328641348433.
33484314682368 is a `hidden beast` number, since 3 + 3 + 4 + 84 + 31 + 468 + 2 + 3 + 68 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 17109407867904 + 16374906814464 = 4136352^2 + 4046592^2 .
It is a tau number, because it is divible by the number of its divisors (396).
It is a super-2 number, since 2×334843146823682 (a number of 28 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (33484314682361) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4903249578 + ... + 4903256406.
Almost surely, 233484314682368 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 33484314682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53156792671710).
33484314682368 is an abundant number, since it is smaller than the sum of its proper divisors (72829270661052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33484314682368 is a wasteful number, since it uses less digits than its factorization.
33484314682368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11274 (or 11242 counting only the distinct ones).
The product of its digits is 191102976, while the sum is 63.
The spelling of 33484314682368 in words is "thirty-three trillion, four hundred eighty-four billion, three hundred fourteen million, six hundred eighty-two thousand, three hundred sixty-eight".
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