Base | Representation |
---|---|
bin | 100100111100100010111111… |
… | …111101111011100110000000 |
3 | 210022022221011222202012210200 |
4 | 210330202333331323212000 |
5 | 132244220341344103113 |
6 | 1333331023042125200 |
7 | 46140355112132031 |
oct | 4474427775734600 |
9 | 708287158665720 |
10 | 162490423425408 |
11 | 4785788a9a8301 |
12 | 16283896050800 |
13 | 6c88a2033cc80 |
14 | 2c1a8153daa88 |
15 | 13bbb37364873 |
hex | 93c8bff7b980 |
162490423425408 has 768 divisors, whose sum is σ = 552778297344000. Its totient is φ = 45391412183040.
The previous prime is 162490423425401. The next prime is 162490423425479. The reversal of 162490423425408 is 804524324094261.
162490423425408 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 90 + 4 + 2 + 3 + 4 + 2 + 540 + 8 = 666.
It is a super-3 number, since 3×1624904234254083 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (162490423425401) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 589212673 + ... + 589488383.
It is an arithmetic number, because the mean of its divisors is an integer number (719763408000).
Almost surely, 2162490423425408 is an apocalyptic number.
162490423425408 is a gapful number since it is divisible by the number (18) 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 162490423425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276389148672000).
162490423425408 is an abundant number, since it is smaller than the sum of its proper divisors (390287873918592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
162490423425408 is a wasteful number, since it uses less digits than its factorization.
162490423425408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 275855 (or 275840 counting only the distinct ones).
The product of its (nonzero) digits is 13271040, while the sum is 54.
The spelling of 162490423425408 in words is "one hundred sixty-two trillion, four hundred ninety billion, four hundred twenty-three million, four hundred twenty-five thousand, four hundred eight".
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