Base | Representation |
---|---|
bin | 10111000000010011… |
… | …01111001010000000 |
3 | 1011212201210122101201 |
4 | 23200021233022000 |
5 | 200243222132144 |
6 | 5401311510544 |
7 | 615026140564 |
oct | 134011571200 |
9 | 34781718351 |
10 | 12350583424 |
11 | 5268645143 |
12 | 2488228454 |
13 | 121a99343a |
14 | 8523db6a4 |
15 | 4c44221d4 |
hex | 2e026f280 |
12350583424 has 64 divisors (see below), whose sum is σ = 26368583040. Its totient is φ = 5747106816.
The previous prime is 12350583403. The next prime is 12350583451. The reversal of 12350583424 is 42438505321.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-3 number, since 3×123505834243 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (37).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52237 + ... + 165619.
It is an arithmetic number, because the mean of its divisors is an integer number (412009110).
Almost surely, 212350583424 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12350583424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13184291520).
12350583424 is an abundant number, since it is smaller than the sum of its proper divisors (14017999616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12350583424 is a wasteful number, since it uses less digits than its factorization.
12350583424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113457 (or 113445 counting only the distinct ones).
The product of its (nonzero) digits is 115200, while the sum is 37.
The spelling of 12350583424 in words is "twelve billion, three hundred fifty million, five hundred eighty-three thousand, four hundred twenty-four".
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