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20452432000 = 2753711131277
BaseRepresentation
bin10011000011000011…
…110101100010000000
31221210100212012021111
4103003003311202000
5313341310311000
613221250333104
71322554542430
oct230303654200
957710765244
1020452432000
118745956970
123b6958a194
131c0c346590
14dc04182c0
157ea839cba
hex4c30f5880

20452432000 has 512 divisors, whose sum is σ = 68327400960. Its totient is φ = 5879808000.

The previous prime is 20452431977. The next prime is 20452432037. The reversal of 20452432000 is 23425402.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16015362 + ... + 16016638.

It is an arithmetic number, because the mean of its divisors is an integer number (133451955).

Almost surely, 220452432000 is an apocalyptic number.

20452432000 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 20452432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34163700480).

20452432000 is an abundant number, since it is smaller than the sum of its proper divisors (47874968960).

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

20452432000 is a wasteful number, since it uses less digits than its factorization.

20452432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 20452432000 its reverse (23425402), we get a palindrome (20475857402).

The spelling of 20452432000 in words is "twenty billion, four hundred fifty-two million, four hundred thirty-two thousand".