Base | Representation |
---|---|
bin | 100011011111110110… |
… | …000110110000010000 |
3 | 10122101022112212011201 |
4 | 203133312012300100 |
5 | 1111030000202401 |
6 | 25302045520544 |
7 | 2516350126351 |
oct | 433766066020 |
9 | 118338485151 |
10 | 38115240976 |
11 | 1518a07275a |
12 | 7478873154 |
13 | 3795756c37 |
14 | 1bb814dd28 |
15 | ed12d9b01 |
hex | 8dfd86c10 |
38115240976 has 80 divisors (see below), whose sum is σ = 77545826928. Its totient is φ = 18130176000.
The previous prime is 38115240973. The next prime is 38115241049. The reversal of 38115240976 is 67904251183.
It can be written as a sum of positive squares in 8 ways, for example, as 2022840576 + 36092400400 = 44976^2 + 189980^2 .
It is not an unprimeable number, because it can be changed into a prime (38115240973) 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 15 ways as a sum of consecutive naturals, for example, 6244326 + ... + 6250426.
It is a 2-persistent number, because it is pandigital, and so is 2⋅38115240976 = 76230481952, but 3⋅38115240976 = 114345722928 is not.
Almost surely, 238115240976 is an apocalyptic number.
38115240976 is the 97616-th decagonal number.
It is an amenable number.
38115240976 is an abundant number, since it is smaller than the sum of its proper divisors (39430585952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38115240976 is a wasteful number, since it uses less digits than its factorization.
38115240976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6380 (or 6374 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 46.
The spelling of 38115240976 in words is "thirty-eight billion, one hundred fifteen million, two hundred forty thousand, nine hundred seventy-six".
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