| Base | Representation |
|---|---|
| bin | 10100000000000000100100… |
| … | …100001000111011110000000 |
| 3 | 102112110001010011101110212000 |
| 4 | 110000000210201013132000 |
| 5 | 43012130214434230300 |
| 6 | 511024550331104000 |
| 7 | 24346004014050540 |
| oct | 2400004441073600 |
| 9 | 375401104343760 |
| 10 | 87961542883200 |
| 11 | 2603330a894318 |
| 12 | 9a476528a2000 |
| 13 | 3a1097922c05c |
| 14 | 17a150b92d320 |
| 15 | a28135582c00 |
| hex | 500024847780 |
87961542883200 has 768 divisors, whose sum is σ = 368336108313600. Its totient is φ = 20081807400960.
The previous prime is 87961542883177. The next prime is 87961542883213. The reversal of 87961542883200 is 238824516978.
87961542883200 is a `hidden beast` number, since 8 + 7 + 9 + 6 + 1 + 542 + 8 + 83 + 2 + 0 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
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 95 ways as a sum of consecutive naturals, for example, 515809149 + ... + 515979651.
It is an arithmetic number, because the mean of its divisors is an integer number (479604307700).
It is a 2-persistent number, because it is pandigital, and so is 2⋅87961542883200 = 175923085766400, but 3⋅87961542883200 = 263884628649600 is not.
Almost surely, 287961542883200 is an apocalyptic number.
87961542883200 is a gapful number since it is divisible by the number (80) 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 87961542883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184168054156800).
87961542883200 is an abundant number, since it is smaller than the sum of its proper divisors (280374565430400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87961542883200 is a wasteful number, since it uses less digits than its factorization.
87961542883200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 171396 (or 171373 counting only the distinct ones).
The product of its (nonzero) digits is 46448640, while the sum is 63.
The spelling of 87961542883200 in words is "eighty-seven trillion, nine hundred sixty-one billion, five hundred forty-two million, eight hundred eighty-three thousand, two hundred".
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