Base | Representation |
---|---|
bin | 10010101000010011… |
… | …10010000000000000 |
3 | 221211001010022110021 |
4 | 21110021302000000 |
5 | 130440424103312 |
6 | 4332244543224 |
7 | 502565524354 |
oct | 112411620000 |
9 | 27731108407 |
10 | 10001784832 |
11 | 4272823a86 |
12 | 1b316b1b14 |
13 | c351939a0 |
14 | 6ac4a9464 |
15 | 3d8111c07 |
hex | 254272000 |
10001784832 has 112 divisors (see below), whose sum is σ = 22679314560. Its totient is φ = 4372365312.
The previous prime is 10001784829. The next prime is 10001784841. The reversal of 10001784832 is 23848710001.
It is a happy number.
It is a super-3 number, since 3×100017848323 (a number of 31 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2020953 + ... + 2025895.
It is an arithmetic number, because the mean of its divisors is an integer number (202493880).
Almost surely, 210001784832 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 10001784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11339657280).
10001784832 is an abundant number, since it is smaller than the sum of its proper divisors (12677529728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10001784832 is an equidigital number, since it uses as much as digits as its factorization.
10001784832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5001 (or 4977 counting only the distinct ones).
The product of its (nonzero) digits is 10752, while the sum is 34.
The spelling of 10001784832 in words is "ten billion, one million, seven hundred eighty-four thousand, eight hundred thirty-two".
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