| Base | Representation |
|---|---|
| bin | 10100111010010010001001… |
| … | …000000111001101111010000 |
| 3 | 110001121212200022110111221200 |
| 4 | 110322102021000321233100 |
| 5 | 44023233122421111130 |
| 6 | 523332354420151200 |
| 7 | 25241222433563301 |
| oct | 2472221100715720 |
| 9 | 401555608414850 |
| 10 | 91966138457040 |
| 11 | 273376906745a1 |
| 12 | a3937a1838500 |
| 13 | 3c414a6155243 |
| 14 | 189d2833367a8 |
| 15 | a973b4c09760 |
| hex | 53a489039bd0 |
91966138457040 has 240 divisors, whose sum is σ = 310106676344400. Its totient is φ = 24424784068608.
The previous prime is 91966138457033. The next prime is 91966138457071. The reversal of 91966138457040 is 4075483166919.
91966138457040 is a `hidden beast` number, since 9 + 1 + 9 + 6 + 6 + 13 + 8 + 4 + 570 + 40 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 10100268760464 + 81865869696576 = 3178092^2 + 9047976^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-3 number, since 3×919661384570403 (a number of 43 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196985346 + ... + 1197062174.
It is an arithmetic number, because the mean of its divisors is an integer number (1292111151435).
Almost surely, 291966138457040 is an apocalyptic number.
91966138457040 is a gapful number since it is divisible by the number (90) 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 91966138457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155053338172200).
91966138457040 is an abundant number, since it is smaller than the sum of its proper divisors (218140537887360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
91966138457040 is a wasteful number, since it uses less digits than its factorization.
91966138457040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 83574 (or 83565 counting only the distinct ones).
The product of its (nonzero) digits is 39191040, while the sum is 63.
The spelling of 91966138457040 in words is "ninety-one trillion, nine hundred sixty-six billion, one hundred thirty-eight million, four hundred fifty-seven thousand, forty".
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