| Base | Representation |
|---|---|
| bin | 100111100111001010… |
| … | …101111110001100000 |
| 3 | 11001210012110022010200 |
| 4 | 213213022233301200 |
| 5 | 1144101430402210 |
| 6 | 31312303025200 |
| 7 | 3034003020306 |
| oct | 474712576140 |
| 9 | 131705408120 |
| 10 | 42533059680 |
| 11 | 170468922a1 |
| 12 | 82b029b200 |
| 13 | 401aab8547 |
| 14 | 20b6b86276 |
| 15 | 118e0930c0 |
| hex | 9e72afc60 |
42533059680 has 288 divisors, whose sum is σ = 148747959360. Its totient is φ = 11063070720.
The previous prime is 42533059663. The next prime is 42533059687. The reversal of 42533059680 is 8695033524.
42533059680 is a `hidden beast` number, since 4 + 2 + 53 + 3 + 0 + 596 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×425330596803 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42533059687) 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 47 ways as a sum of consecutive naturals, for example, 13812381 + ... + 13815459.
It is an arithmetic number, because the mean of its divisors is an integer number (516485970).
Almost surely, 242533059680 is an apocalyptic number.
42533059680 is a gapful number since it is divisible by the number (40) 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 42533059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74373979680).
42533059680 is an abundant number, since it is smaller than the sum of its proper divisors (106214899680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42533059680 is a wasteful number, since it uses less digits than its factorization.
42533059680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3334 (or 3323 counting only the distinct ones).
The product of its (nonzero) digits is 777600, while the sum is 45.
The spelling of 42533059680 in words is "forty-two billion, five hundred thirty-three million, fifty-nine thousand, six hundred eighty".
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