| Base | Representation |
|---|---|
| bin | 10011101001001100001110… |
| … | …100000001000000000000000 |
| 3 | 102022220010202021202020012000 |
| 4 | 103221030032200020000000 |
| 5 | 42310432402134231230 |
| 6 | 503424344130304000 |
| 7 | 24124503504301200 |
| oct | 2351141640100000 |
| 9 | 368803667666160 |
| 10 | 86393510461440 |
| 11 | 25589311421586 |
| 12 | 9833783a28000 |
| 13 | 3928b472030b0 |
| 14 | 174967ab06400 |
| 15 | 9ec4606d3b60 |
| hex | 4e930e808000 |
86393510461440 has 6144 divisors, whose sum is σ = 424132286054400. Its totient is φ = 16480720650240.
The previous prime is 86393510461361. The next prime is 86393510461441. The reversal of 86393510461440 is 4416401539368.
It is a happy number.
86393510461440 is a `hidden beast` number, since 8 + 6 + 3 + 9 + 3 + 5 + 10 + 4 + 614 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (6144).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (86393510461441) 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 383 ways as a sum of consecutive naturals, for example, 2009151406059 + ... + 2009151406101.
It is an arithmetic number, because the mean of its divisors is an integer number (69031947600).
Almost surely, 286393510461440 is an apocalyptic number.
86393510461440 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 86393510461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212066143027200).
86393510461440 is an abundant number, since it is smaller than the sum of its proper divisors (337738775592960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86393510461440 is a wasteful number, since it uses less digits than its factorization.
86393510461440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 168 (or 127 counting only the distinct ones).
The product of its (nonzero) digits is 7464960, while the sum is 54.
The spelling of 86393510461440 in words is "eighty-six trillion, three hundred ninety-three billion, five hundred ten million, four hundred sixty-one thousand, four hundred forty".
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