Base | Representation |
---|---|
bin | 100011100110010010… |
… | …000101111101100000 |
3 | 10122122211202211102200 |
4 | 203212102011331200 |
5 | 1111240122203211 |
6 | 25320504413200 |
7 | 2522131121400 |
oct | 434622057540 |
9 | 118584684380 |
10 | 38223241056 |
11 | 15235028820 |
12 | 74a8a77200 |
13 | 37b1c3bc00 |
14 | 1bc8624800 |
15 | edaa1eb56 |
hex | 8e6485f60 |
38223241056 has 1296 divisors, whose sum is σ = 157464373248. Its totient is φ = 8680089600.
The previous prime is 38223241027. The next prime is 38223241057. The reversal of 38223241056 is 65014232283.
38223241056 is a `hidden beast` number, since 3 + 8 + 2 + 232 + 410 + 5 + 6 = 666.
It is a super-2 number, since 2×382232410562 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 38223241056.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38223241057) by changing a digit.
It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 813260425 + ... + 813260471.
It is an arithmetic number, because the mean of its divisors is an integer number (121500288).
Almost surely, 238223241056 is an apocalyptic number.
38223241056 is a gapful number since it is divisible by the number (36) 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 38223241056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78732186624).
38223241056 is an abundant number, since it is smaller than the sum of its proper divisors (119241132192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38223241056 is a wasteful number, since it uses less digits than its factorization.
38223241056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 145 (or 114 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
It can be divided in two parts, 3822 and 3241056, that added together give a triangular number (3244878 = T2547).
The spelling of 38223241056 in words is "thirty-eight billion, two hundred twenty-three million, two hundred forty-one thousand, fifty-six".
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