| Base | Representation |
|---|---|
| bin | 10011011111000111001011… |
| … | …01100000110100111100000 |
| 3 | 12121201110111100101101202220 |
| 4 | 21233203211230012213200 |
| 5 | 21104030204001220200 |
| 6 | 231045120154111040 |
| 7 | 12011562013164414 |
| oct | 1157434554064740 |
| 9 | 177643440341686 |
| 10 | 42850447288800 |
| 11 | 12720855427368 |
| 12 | 498085411b480 |
| 13 | 1abaa1a405b38 |
| 14 | a81d891b4d44 |
| 15 | 4e4989c864a0 |
| hex | 26f8e5b069e0 |
42850447288800 has 576 divisors, whose sum is σ = 155212930736640. Its totient is φ = 10212991303680.
The previous prime is 42850447288591. The next prime is 42850447288801. The reversal of 42850447288800 is 888274405824.
It is a happy number.
42850447288800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (60).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42850447288801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130273344 + ... + 130601856.
It is an arithmetic number, because the mean of its divisors is an integer number (269466893640).
Almost surely, 242850447288800 is an apocalyptic number.
42850447288800 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 42850447288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77606465368320).
42850447288800 is an abundant number, since it is smaller than the sum of its proper divisors (112362483447840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42850447288800 is a wasteful number, since it uses less digits than its factorization.
42850447288800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 328715 (or 328702 counting only the distinct ones).
The product of its (nonzero) digits is 36700160, while the sum is 60.
The spelling of 42850447288800 in words is "forty-two trillion, eight hundred fifty billion, four hundred forty-seven million, two hundred eighty-eight thousand, eight hundred".
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