Base | Representation |
---|---|
bin | 101010110100011110001101… |
… | …000101000101101010000000 |
3 | 220200210120122021112001102200 |
4 | 222310132031011011222000 |
5 | 144140444114233332211 |
6 | 1504310431453113200 |
7 | 54444642162406260 |
oct | 5264361505055200 |
9 | 820716567461380 |
10 | 188323797949056 |
11 | 55007746395140 |
12 | 191564b6a88800 |
13 | 8110b1cba2573 |
14 | 3470cc5a297a0 |
15 | 16b8b02c0bb56 |
hex | ab478d145a80 |
188323797949056 has 1152 divisors, whose sum is σ = 715645719734400. Its totient is φ = 46173664051200.
The previous prime is 188323797949039. The next prime is 188323797949087. The reversal of 188323797949056 is 650949797323881.
188323797949056 is a `hidden beast` number, since 1 + 8 + 8 + 3 + 2 + 3 + 7 + 9 + 79 + 490 + 56 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×1883237979490562 (a number of 29 digits) contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8998212000 + ... + 8998232928.
It is an arithmetic number, because the mean of its divisors is an integer number (621220242825).
It is a 1-persistent number, because it is pandigital, but 2⋅188323797949056 = 376647595898112 is not.
Almost surely, 2188323797949056 is an apocalyptic number.
188323797949056 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 188323797949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357822859867200).
188323797949056 is an abundant number, since it is smaller than the sum of its proper divisors (527321921785344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
188323797949056 is a wasteful number, since it uses less digits than its factorization.
188323797949056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21286 (or 21252 counting only the distinct ones).
The product of its (nonzero) digits is 4938071040, while the sum is 81.
The spelling of 188323797949056 in words is "one hundred eighty-eight trillion, three hundred twenty-three billion, seven hundred ninety-seven million, nine hundred forty-nine thousand, fifty-six".
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