| Base | Representation |
|---|---|
| bin | 10011110001000101110000… |
| … | …011000011001100000100000 |
| 3 | 102101211000211111210201121200 |
| 4 | 103301011300120121200200 |
| 5 | 42343331040012414324 |
| 6 | 504521554322121200 |
| 7 | 24211641005324553 |
| oct | 2361056030314040 |
| 9 | 371730744721550 |
| 10 | 86936318482464 |
| 11 | 257785383a3850 |
| 12 | 9900a111b0200 |
| 13 | 39680a10ab509 |
| 14 | 1767a5140869a |
| 15 | a0b62e5beec9 |
| hex | 4f1170619820 |
86936318482464 has 288 divisors, whose sum is σ = 270801858023424. Its totient is φ = 26236945405440.
The previous prime is 86936318482463. The next prime is 86936318482477. The reversal of 86936318482464 is 46428481363968.
86936318482464 is a `hidden beast` number, since 8 + 6 + 9 + 3 + 6 + 3 + 1 + 84 + 82 + 464 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×869363184824642 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 86936318482392 and 86936318482401.
It is not an unprimeable number, because it can be changed into a prime (86936318482463) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767071369 + ... + 767184695.
It is an arithmetic number, because the mean of its divisors is an integer number (940284229248).
Almost surely, 286936318482464 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 86936318482464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135400929011712).
86936318482464 is an abundant number, since it is smaller than the sum of its proper divisors (183865539540960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86936318482464 is a wasteful number, since it uses less digits than its factorization.
86936318482464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 114340 (or 114329 counting only the distinct ones).
The product of its digits is 1146617856, while the sum is 72.
The spelling of 86936318482464 in words is "eighty-six trillion, nine hundred thirty-six billion, three hundred eighteen million, four hundred eighty-two thousand, four hundred sixty-four".
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