| Base | Representation |
|---|---|
| bin | 101000011001001111… |
| … | …0110101110110110000 |
| 3 | 22021220111110012100000 |
| 4 | 1100302132311312300 |
| 5 | 2410124022313012 |
| 6 | 103503430030000 |
| 7 | 6160440212220 |
| oct | 1206236656660 |
| 9 | 267814405300 |
| 10 | 86746291632 |
| 11 | 33875024910 |
| 12 | 1498b1a8300 |
| 13 | 82459ca460 |
| 14 | 42acb32080 |
| 15 | 23ca8beddc |
| hex | 14327b5db0 |
86746291632 has 960 divisors, whose sum is σ = 349417635840. Its totient is φ = 20099404800.
The previous prime is 86746291627. The next prime is 86746291637. The reversal of 86746291632 is 23619264768.
86746291632 is a `hidden beast` number, since 8 + 6 + 7 + 4 + 629 + 1 + 6 + 3 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (86746291627) and next prime (86746291637).
It is a super-2 number, since 2×867462916322 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (86746291637) by changing a digit.
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, 120648169 + ... + 120648887.
It is an arithmetic number, because the mean of its divisors is an integer number (363976704).
Almost surely, 286746291632 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 86746291632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174708817920).
86746291632 is an abundant number, since it is smaller than the sum of its proper divisors (262671344208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86746291632 is a wasteful number, since it uses less digits than its factorization.
86746291632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 804 (or 786 counting only the distinct ones).
The product of its digits is 5225472, while the sum is 54.
The spelling of 86746291632 in words is "eighty-six billion, seven hundred forty-six million, two hundred ninety-one thousand, six hundred thirty-two".
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