Base | Representation |
---|---|
bin | 10010101100100111… |
… | …00101001100000000 |
3 | 221220120002120102200 |
4 | 21112103211030000 |
5 | 131024201030344 |
6 | 4340015113200 |
7 | 503514545361 |
oct | 112623451400 |
9 | 27816076380 |
10 | 10037908224 |
11 | 4291157023 |
12 | 1b41812800 |
13 | c3c800b86 |
14 | 6b31cdb68 |
15 | 3db39a069 |
hex | 2564e5300 |
10037908224 has 108 divisors (see below), whose sum is σ = 29064453600. Its totient is φ = 3331786752.
The previous prime is 10037908201. The next prime is 10037908241. The reversal of 10037908224 is 42280973001.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 11 ways as a sum of consecutive naturals, for example, 541542 + ... + 559770.
Almost surely, 210037908224 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 10037908224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532226800).
10037908224 is an abundant number, since it is smaller than the sum of its proper divisors (19026545376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10037908224 is a wasteful number, since it uses less digits than its factorization.
10037908224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18490 (or 18473 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The spelling of 10037908224 in words is "ten billion, thirty-seven million, nine hundred eight thousand, two hundred twenty-four".
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