Base | Representation |
---|---|
bin | 10011110110001… |
… | …11000110000000 |
3 | 102121021121000200 |
4 | 21323013012000 |
5 | 320110143441 |
6 | 24304245200 |
7 | 4061101014 |
oct | 1173070600 |
9 | 377247020 |
10 | 166490496 |
11 | 85a85857 |
12 | 47910800 |
13 | 28653ab3 |
14 | 1817c544 |
15 | e93a7b6 |
hex | 9ec7180 |
166490496 has 96 divisors (see below), whose sum is σ = 490381320. Its totient is φ = 54190080.
The previous prime is 166490477. The next prime is 166490549. The reversal of 166490496 is 694094661.
166490496 is a `hidden beast` number, since 16 + 64 + 90 + 496 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47856 + ... + 51216.
Almost surely, 2166490496 is an apocalyptic number.
166490496 is a gapful number since it is divisible by the number (16) 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 166490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245190660).
166490496 is an abundant number, since it is smaller than the sum of its proper divisors (323890824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
166490496 is a wasteful number, since it uses less digits than its factorization.
166490496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3424 (or 3409 counting only the distinct ones).
The product of its (nonzero) digits is 279936, while the sum is 45.
The square root of 166490496 is about 12903.1196227889. The cubic root of 166490496 is about 550.1272388814.
The spelling of 166490496 in words is "one hundred sixty-six million, four hundred ninety thousand, four hundred ninety-six".
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