| Base | Representation |
|---|---|
| bin | 10011110101111111000100… |
| … | …111100101011001010000000 |
| 3 | 102110000012012122010201020000 |
| 4 | 103311333010330223022000 |
| 5 | 42414334040122232133 |
| 6 | 505340313452120000 |
| 7 | 24245150654244330 |
| oct | 2365770474531200 |
| 9 | 373005178121200 |
| 10 | 87272744727168 |
| 11 | 25898188225910 |
| 12 | 9956061766000 |
| 13 | 3990a2776b170 |
| 14 | 177a04823b0c0 |
| 15 | a1526eb3a413 |
| hex | 4f5fc4f2b280 |
87272744727168 has 5120 divisors, whose sum is σ = 393137210188800. Its totient is φ = 18460547481600.
The previous prime is 87272744727163. The next prime is 87272744727187. The reversal of 87272744727168 is 86172744727278.
87272744727168 is a `hidden beast` number, since 8 + 7 + 2 + 7 + 27 + 4 + 472 + 71 + 68 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 87272744727096 and 87272744727105.
It is not an unprimeable number, because it can be changed into a prime (87272744727163) by changing a digit.
It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 189311810458 + ... + 189311810918.
It is an arithmetic number, because the mean of its divisors is an integer number (76784611365).
Almost surely, 287272744727168 is an apocalyptic number.
87272744727168 is a gapful number since it is divisible by the number (88) 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 87272744727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196568605094400).
87272744727168 is an abundant number, since it is smaller than the sum of its proper divisors (305864465461632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87272744727168 is a wasteful number, since it uses less digits than its factorization.
87272744727168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 601 (or 580 counting only the distinct ones).
The product of its digits is 826097664, while the sum is 72.
The spelling of 87272744727168 in words is "eighty-seven trillion, two hundred seventy-two billion, seven hundred forty-four million, seven hundred twenty-seven thousand, one hundred sixty-eight".
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