Base | Representation |
---|---|
bin | 10100010000101001… |
… | …101010000010100000 |
3 | 2002011002100110100000 |
4 | 110100221222002200 |
5 | 324023033121112 |
6 | 13554351500000 |
7 | 1400042403246 |
oct | 242051520240 |
9 | 62132313300 |
10 | 21754192032 |
11 | 9253746501 |
12 | 4271527600 |
13 | 2088c496a1 |
14 | 10a5276796 |
15 | 874c767dc |
hex | 510a6a0a0 |
21754192032 has 144 divisors (see below), whose sum is σ = 65889506592. Its totient is φ = 7055320320.
The previous prime is 21754192013. The next prime is 21754192073. The reversal of 21754192032 is 23029145712.
21754192032 is a `hidden beast` number, since 21 + 7 + 541 + 92 + 0 + 3 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249907 + ... + 325517.
It is an arithmetic number, because the mean of its divisors is an integer number (457566018).
Almost surely, 221754192032 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 21754192032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32944753296).
21754192032 is an abundant number, since it is smaller than the sum of its proper divisors (44135314560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21754192032 is an equidigital number, since it uses as much as digits as its factorization.
21754192032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 75673 (or 75653 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The spelling of 21754192032 in words is "twenty-one billion, seven hundred fifty-four million, one hundred ninety-two thousand, thirty-two".
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