| Base | Representation |
|---|---|
| bin | 100110011010110101011010… |
| … | …100101001001111111000000 |
| 3 | 211011021100122211201121112000 |
| 4 | 212122311122211021333000 |
| 5 | 134121400201442102400 |
| 6 | 1355211400054504000 |
| 7 | 50406444600031500 |
| oct | 4632653245117700 |
| 9 | 734240584647460 |
| 10 | 168969828081600 |
| 11 | 49925779a10557 |
| 12 | 16b4b599665000 |
| 13 | 7338a2b9b7760 |
| 14 | 2da227d033a00 |
| 15 | 148045dcb6600 |
| hex | 99ad5a949fc0 |
168969828081600 has 6048 divisors, whose sum is σ = 829088421819840. Its totient is φ = 33168788029440.
The previous prime is 168969828081521. The next prime is 168969828081629. The reversal of 168969828081600 is 6180828969861.
168969828081600 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 6 + 9 + 8 + 2 + 8 + 0 + 8 + 1 + 600 = 666.
168969828081600 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (6048).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 725192395084 + ... + 725192395316.
It is an arithmetic number, because the mean of its divisors is an integer number (137084725830).
Almost surely, 2168969828081600 is an apocalyptic number.
168969828081600 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 168969828081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414544210909920).
168969828081600 is an abundant number, since it is smaller than the sum of its proper divisors (660118593738240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168969828081600 is a wasteful number, since it uses less digits than its factorization.
168969828081600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 402 (or 355 counting only the distinct ones).
The product of its (nonzero) digits is 143327232, while the sum is 72.
The spelling of 168969828081600 in words is "one hundred sixty-eight trillion, nine hundred sixty-nine billion, eight hundred twenty-eight million, eighty-one thousand, six hundred".
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