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10043424432 = 2432331210713
BaseRepresentation
bin10010101101010001…
…00111111010110000
3221220221110211020200
421112220213322300
5131032104040212
64340333235200
7503612461536
oct112650477260
927827424220
1010043424432
114294284478
121b43632b00
13c409b28c2
146b3c28156
153dbad96dc
hex256a27eb0

10043424432 has 60 divisors (see below), whose sum is σ = 28192690344. Its totient is φ = 3337678080.

The previous prime is 10043424431. The next prime is 10043424439. The reversal of 10043424432 is 23442434001.

It is a happy number.

10043424432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10043424396 and 10043424405.

It is not an unprimeable number, because it can be changed into a prime (10043424431) 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 11 ways as a sum of consecutive naturals, for example, 57693 + ... + 153020.

Almost surely, 210043424432 is an apocalyptic number.

10043424432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10043424432 is an abundant number, since it is smaller than the sum of its proper divisors (18149265912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10043424432 is a wasteful number, since it uses less digits than its factorization.

10043424432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211058 (or 211049 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10043424432 its reverse (23442434001), we get a palindrome (33485858433).

The spelling of 10043424432 in words is "ten billion, forty-three million, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 331 662 993 1324 1986 2648 2979 3972 5296 5958 7944 11916 15888 23832 47664 210713 421426 632139 842852 1264278 1685704 1896417 2528556 3371408 3792834 5057112 7585668 10114224 15171336 30342672 69746003 139492006 209238009 278984012 418476018 557968024 627714027 836952036 1115936048 1255428054 1673904072 2510856108 3347808144 5021712216 10043424432