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24132000000 = 283562011
BaseRepresentation
bin10110011110011000…
…010001100100000000
32022021210121121122210
4112132120101210000
5343410243000000
615030332302120
71513004421063
oct263630214400
968253547583
1024132000000
11a263980859
124815911940
132377765254
14124cd9a8da
159638b7350
hex59e611900

24132000000 has 252 divisors, whose sum is σ = 80321784368. Its totient is φ = 6432000000.

The previous prime is 24131999989. The next prime is 24132000001. The reversal of 24132000000 is 23142.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 24132000000.

It is not an unprimeable number, because it can be changed into a prime (24132000001) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 11998995 + ... + 12001005.

Almost surely, 224132000000 is an apocalyptic number.

24132000000 is a gapful number since it is divisible by the number (20) 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 24132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40160892184).

24132000000 is an abundant number, since it is smaller than the sum of its proper divisors (56189784368).

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

24132000000 is an frugal number, since it uses more digits than its factorization.

24132000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 24132000000 its reverse (23142), we get a palindrome (24132023142).

The spelling of 24132000000 in words is "twenty-four billion, one hundred thirty-two million", and thus it is an aban number.