| Base | Representation |
|---|---|
| bin | 10011110101110111001000… |
| … | …111010111001100001100000 |
| 3 | 102102222101012122001122210100 |
| 4 | 103311313020322321201200 |
| 5 | 42414214111141423000 |
| 6 | 505332344020302400 |
| 7 | 24244426520413050 |
| oct | 2365671072714140 |
| 9 | 372871178048710 |
| 10 | 87264221436000 |
| 11 | 25894604033024 |
| 12 | 9954483241a00 |
| 13 | 398cc999a97cb |
| 14 | 177987a277560 |
| 15 | a14e21725a00 |
| hex | 4f5dc8eb9860 |
87264221436000 has 1152 divisors, whose sum is σ = 366370731417600. Its totient is φ = 19246632652800.
The previous prime is 87264221435987. The next prime is 87264221436011. The reversal of 87264221436000 is 63412246278.
It is a happy number.
87264221436000 is a `hidden beast` number, since 8 + 7 + 2 + 6 + 4 + 22 + 14 + 3 + 600 + 0 = 666.
87264221436000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×872642214360003 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18555009649 + ... + 18555014351.
It is an arithmetic number, because the mean of its divisors is an integer number (318030148800).
Almost surely, 287264221436000 is an apocalyptic number.
87264221436000 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 87264221436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183185365708800).
87264221436000 is an abundant number, since it is smaller than the sum of its proper divisors (279106509981600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87264221436000 is a wasteful number, since it uses less digits than its factorization.
87264221436000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7309 (or 7288 counting only the distinct ones).
The product of its (nonzero) digits is 774144, while the sum is 45.
The spelling of 87264221436000 in words is "eighty-seven trillion, two hundred sixty-four billion, two hundred twenty-one million, four hundred thirty-six thousand".
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