| Base | Representation |
|---|---|
| bin | 10011111100000101000001… |
| … | …101011111101000000000000 |
| 3 | 102111111012221212201000201200 |
| 4 | 103330011001223331000000 |
| 5 | 42443214042011323040 |
| 6 | 510300521244501200 |
| 7 | 24320332601504250 |
| oct | 2374050153750000 |
| 9 | 374435855630650 |
| 10 | 87691449323520 |
| 11 | 25a3980a0392a9 |
| 12 | 9a03234b4a800 |
| 13 | 39c13642982a3 |
| 14 | 179240863d960 |
| 15 | a210c86bb630 |
| hex | 4fc141afd000 |
87691449323520 has 2496 divisors, whose sum is σ = 373863891548160. Its totient is φ = 18568839168000.
The previous prime is 87691449323407. The next prime is 87691449323551. The reversal of 87691449323520 is 2532394419678.
87691449323520 is a `hidden beast` number, since 8 + 7 + 6 + 9 + 14 + 4 + 93 + 2 + 3 + 520 = 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 (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 264928849755 + ... + 264928850085.
It is an arithmetic number, because the mean of its divisors is an integer number (149785212960).
It is a 2-persistent number, because it is pandigital, and so is 2⋅87691449323520 = 175382898647040, but 3⋅87691449323520 = 263074347970560 is not.
Almost surely, 287691449323520 is an apocalyptic number.
87691449323520 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 87691449323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186931945774080).
87691449323520 is an abundant number, since it is smaller than the sum of its proper divisors (286172442224640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87691449323520 is a wasteful number, since it uses less digits than its factorization.
87691449323520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 600 (or 575 counting only the distinct ones).
The product of its (nonzero) digits is 78382080, while the sum is 63.
The spelling of 87691449323520 in words is "eighty-seven trillion, six hundred ninety-one billion, four hundred forty-nine million, three hundred twenty-three thousand, five hundred twenty".
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