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32424000000 = 293567193
BaseRepresentation
bin11110001100100111…
…101111101000000000
310002200200110212020220
4132030213233220000
51012401021000000
622521222503040
72225332311150
oct361447575000
9102620425226
1032424000000
1112829559117
12634a894a80
133099634a22
1417d8354760
15c9b8411a0
hex78c9efa00

32424000000 has 560 divisors, whose sum is σ = 124037162304. Its totient is φ = 7372800000.

The previous prime is 32423999981. The next prime is 32424000041. The reversal of 32424000000 is 42423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 167999904 + ... + 168000096.

Almost surely, 232424000000 is an apocalyptic number.

32424000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62018581152).

32424000000 is an abundant number, since it is smaller than the sum of its proper divisors (91613162304).

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

32424000000 is an frugal number, since it uses more digits than its factorization.

32424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 32424000000 its reverse (42423), we get a palindrome (32424042423).

The spelling of 32424000000 in words is "thirty-two billion, four hundred twenty-four million", and thus it is an aban number.