Base | Representation |
---|---|
bin | 100110010100100010001010… |
… | …110001011001101000000000 |
3 | 211002201222001111111001111200 |
4 | 212110202022301121220000 |
5 | 134042301424243311424 |
6 | 1354240431354341200 |
7 | 50333246062516626 |
oct | 4624421261315000 |
9 | 732658044431450 |
10 | 168536844900864 |
11 | 49779090222300 |
12 | 16a9b6a042a800 |
13 | 7306c57c3b52b |
14 | 2d8932655b516 |
15 | 147406b9238c9 |
hex | 99488ac59a00 |
168536844900864 has 360 divisors, whose sum is σ = 566097522010020. Its totient is φ = 48067546644480.
The previous prime is 168536844900863. The next prime is 168536844900877. The reversal of 168536844900864 is 468009448635861.
It is a happy number.
168536844900864 is a `hidden beast` number, since 1 + 6 + 8 + 53 + 6 + 8 + 4 + 490 + 0 + 86 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 159444159494400 + 9092685406464 = 12627120^2 + 3015408^2 .
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 168536844900792 and 168536844900801.
It is not an unprimeable number, because it can be changed into a prime (168536844900863) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 588322 + ... + 18368990.
Almost surely, 2168536844900864 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 168536844900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283048761005010).
168536844900864 is an abundant number, since it is smaller than the sum of its proper divisors (397560677109156).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168536844900864 is a wasteful number, since it uses less digits than its factorization.
168536844900864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17780732 (or 17780702 counting only the distinct ones).
The product of its (nonzero) digits is 955514880, while the sum is 72.
The spelling of 168536844900864 in words is "one hundred sixty-eight trillion, five hundred thirty-six billion, eight hundred forty-four million, nine hundred thousand, eight hundred sixty-four".
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