| Base | Representation |
|---|---|
| bin | 100101011011111000000011… |
| … | …000101011011100010000000 |
| 3 | 210120221202012121200022200000 |
| 4 | 211123320003011123202000 |
| 5 | 133040004013442030000 |
| 6 | 1342100033432400000 |
| 7 | 46452042103556100 |
| oct | 4533700305334200 |
| 9 | 716852177608600 |
| 10 | 164643328080000 |
| 11 | 48507930505220 |
| 12 | 16570b91546000 |
| 13 | 70b3a50b64003 |
| 14 | 2c92acb305200 |
| 15 | 1407b3de30000 |
| hex | 95be0315b880 |
164643328080000 has 5760 divisors, whose sum is σ = 821124541036800. Its totient is φ = 32371799040000.
The previous prime is 164643328079977. The next prime is 164643328080001. The reversal of 164643328080000 is 80823346461.
164643328080000 is a `hidden beast` number, since 1 + 6 + 464 + 3 + 32 + 80 + 80 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (5760).
It is a super-3 number, since 3×1646433280800003 (a number of 44 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (164643328080001) by changing a digit.
It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 199085039587 + ... + 199085040413.
It is an arithmetic number, because the mean of its divisors is an integer number (142556343930).
Almost surely, 2164643328080000 is an apocalyptic number.
164643328080000 is a gapful number since it is divisible by the number (10) 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 164643328080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410562270518400).
164643328080000 is an abundant number, since it is smaller than the sum of its proper divisors (656481212956800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164643328080000 is an equidigital number, since it uses as much as digits as its factorization.
164643328080000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 920 (or 874 counting only the distinct ones).
The product of its (nonzero) digits is 663552, while the sum is 45.
The spelling of 164643328080000 in words is "one hundred sixty-four trillion, six hundred forty-three billion, three hundred twenty-eight million, eighty thousand".
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