| Base | Representation |
|---|---|
| bin | 110010010011111… |
| … | …0101111100000000 |
| 3 | 11100122120201121000 |
| 4 | 1210213311330000 |
| 5 | 11424132304034 |
| 6 | 435303132000 |
| 7 | 56556114120 |
| oct | 14447657400 |
| 9 | 4318521530 |
| 10 | 1688166144 |
| 11 | 796a20235 |
| 12 | 3b1444000 |
| 13 | 20b9950a2 |
| 14 | 1202c4c80 |
| 15 | 9d317599 |
| hex | 649f5f00 |
1688166144 has 576 divisors, whose sum is σ = 6263470080. Its totient is φ = 437944320.
The previous prime is 1688166127. The next prime is 1688166187. The reversal of 1688166144 is 4416618861.
1688166144 is a `hidden beast` number, since 16 + 8 + 8 + 16 + 614 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-3 number, since 3×16881661443 (a number of 29 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 1688166144.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41174764 + ... + 41174804.
It is an arithmetic number, because the mean of its divisors is an integer number (10874080).
Almost surely, 21688166144 is an apocalyptic number.
1688166144 is a gapful number since it is divisible by the number (14) 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 1688166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131735040).
1688166144 is an abundant number, since it is smaller than the sum of its proper divisors (4575303936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1688166144 is a wasteful number, since it uses less digits than its factorization.
1688166144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 133 (or 113 counting only the distinct ones).
The product of its digits is 221184, while the sum is 45.
The square root of 1688166144 is about 41087.2990594417. The cubic root of 1688166144 is about 1190.7074258021.
The spelling of 1688166144 in words is "one billion, six hundred eighty-eight million, one hundred sixty-six thousand, one hundred forty-four".
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