| Base | Representation |
|---|---|
| bin | 101000101010110010… |
| … | …0001011001000100000 |
| 3 | 22100102112000012100000 |
| 4 | 1101111210023020200 |
| 5 | 2412330213021224 |
| 6 | 104042053500000 |
| 7 | 6211145222400 |
| oct | 1212544131040 |
| 9 | 270375005300 |
| 10 | 87334892064 |
| 11 | 340472a7052 |
| 12 | 14b14341600 |
| 13 | 830a934434 |
| 14 | 4326d8c800 |
| 15 | 24123da0c9 |
| hex | 145590b220 |
87334892064 has 864 divisors, whose sum is σ = 322807343040. Its totient is φ = 23075684352.
The previous prime is 87334892053. The next prime is 87334892069. The reversal of 87334892064 is 46029843378.
87334892064 is a `hidden beast` number, since 87 + 3 + 3 + 489 + 20 + 64 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 87334892064.
It is not an unprimeable number, because it can be changed into a prime (87334892069) by changing a digit.
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 143 ways as a sum of consecutive naturals, for example, 628308507 + ... + 628308645.
It is an arithmetic number, because the mean of its divisors is an integer number (373619610).
Almost surely, 287334892064 is an apocalyptic number.
87334892064 is a gapful number since it is divisible by the number (84) 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 87334892064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161403671520).
87334892064 is an abundant number, since it is smaller than the sum of its proper divisors (235472450976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87334892064 is a wasteful number, since it uses less digits than its factorization.
87334892064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 292 (or 265 counting only the distinct ones).
The product of its (nonzero) digits is 6967296, while the sum is 54.
The spelling of 87334892064 in words is "eighty-seven billion, three hundred thirty-four million, eight hundred ninety-two thousand, sixty-four".
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