| Base | Representation |
|---|---|
| bin | 10100110101110111000010… |
| … | …110000001111111011000000 |
| 3 | 110000112211001211211010222000 |
| 4 | 110311313002300033323000 |
| 5 | 44003243103102220333 |
| 6 | 522541003403144000 |
| 7 | 25210241612526630 |
| oct | 2465670260177300 |
| 9 | 400484054733860 |
| 10 | 91662164491968 |
| 11 | 2722a784256544 |
| 12 | a3448a9515000 |
| 13 | 3c1b921c1c215 |
| 14 | 188c6884da6c0 |
| 15 | a8e523719713 |
| hex | 535dc2c0fec0 |
91662164491968 has 672 divisors, whose sum is σ = 312808225466880. Its totient is φ = 25781192386560.
The previous prime is 91662164491951. The next prime is 91662164491979. The reversal of 91662164491968 is 86919446126619.
It is a happy number.
91662164491968 is a `hidden beast` number, since 9 + 1 + 6 + 62 + 16 + 4 + 491 + 9 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 91662164491896 and 91662164491905.
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 151008507921 + ... + 151008508527.
Almost surely, 291662164491968 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 91662164491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156404112733440).
91662164491968 is an abundant number, since it is smaller than the sum of its proper divisors (221146060974912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
91662164491968 is a wasteful number, since it uses less digits than its factorization.
91662164491968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1530 (or 907 counting only the distinct ones).
The product of its digits is 241864704, while the sum is 72.
The spelling of 91662164491968 in words is "ninety-one trillion, six hundred sixty-two billion, one hundred sixty-four million, four hundred ninety-one thousand, nine hundred sixty-eight".
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