| Base | Representation |
|---|---|
| bin | 10011110001010110111101… |
| … | …110110110001100010000000 |
| 3 | 102101212210112101120121112000 |
| 4 | 103301112331312301202000 |
| 5 | 42344131411312110000 |
| 6 | 504534252141504000 |
| 7 | 24213163650102501 |
| oct | 2361267566614200 |
| 9 | 371783471517460 |
| 10 | 86954798160000 |
| 11 | 25785360722021 |
| 12 | 9904509b72000 |
| 13 | 3969a577c9a54 |
| 14 | 17688c581aba8 |
| 15 | a0bd61b2a000 |
| hex | 4f15bddb1880 |
86954798160000 has 640 divisors, whose sum is σ = 329361837974400. Its totient is φ = 22561224192000.
The previous prime is 86954798159989. The next prime is 86954798160007. The reversal of 86954798160000 is 6189745968.
86954798160000 is a `hidden beast` number, since 8 + 6 + 9 + 547 + 9 + 81 + 6 + 0 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×869547981600002 (a number of 29 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 86954798160000.
It is not an unprimeable number, because it can be changed into a prime (86954798160007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79375989 + ... + 80464011.
It is an arithmetic number, because the mean of its divisors is an integer number (514627871835).
Almost surely, 286954798160000 is an apocalyptic number.
86954798160000 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 86954798160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164680918987200).
86954798160000 is an abundant number, since it is smaller than the sum of its proper divisors (242407039814400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86954798160000 is a wasteful number, since it uses less digits than its factorization.
86954798160000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1088103 (or 1088070 counting only the distinct ones).
The product of its (nonzero) digits is 26127360, while the sum is 63.
The spelling of 86954798160000 in words is "eighty-six trillion, nine hundred fifty-four billion, seven hundred ninety-eight million, one hundred sixty thousand".
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