| Base | Representation |
|---|---|
| bin | 100111100101010111… |
| … | …0100111001111000000 |
| 3 | 22010102012000200021000 |
| 4 | 1033022232213033000 |
| 5 | 2343042413024314 |
| 6 | 103015004532000 |
| 7 | 6066342432510 |
| oct | 1171256471700 |
| 9 | 263365020230 |
| 10 | 85005595584 |
| 11 | 33061496138 |
| 12 | 14584251000 |
| 13 | 80291a25b0 |
| 14 | 4185895840 |
| 15 | 2327b7d209 |
| hex | 13caba73c0 |
85005595584 has 448 divisors, whose sum is σ = 325672704000. Its totient is φ = 21099626496.
The previous prime is 85005595561. The next prime is 85005595607. The reversal of 85005595584 is 48559550058.
85005595584 is a `hidden beast` number, since 8 + 5 + 0 + 0 + 5 + 59 + 5 + 584 = 666.
It is an interprime number because it is at equal distance from previous prime (85005595561) and next prime (85005595607).
It is a tau number, because it is divible by the number of its divisors (448).
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 85005595584.
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 63 ways as a sum of consecutive naturals, for example, 2657317 + ... + 2689115.
It is an arithmetic number, because the mean of its divisors is an integer number (726948000).
Almost surely, 285005595584 is an apocalyptic number.
85005595584 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 85005595584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162836352000).
85005595584 is an abundant number, since it is smaller than the sum of its proper divisors (240667108416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85005595584 is a wasteful number, since it uses less digits than its factorization.
85005595584 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31857 (or 31841 counting only the distinct ones).
The product of its (nonzero) digits is 7200000, while the sum is 54.
The spelling of 85005595584 in words is "eighty-five billion, five million, five hundred ninety-five thousand, five hundred eighty-four".
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