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20443412000 = 2553112320201
BaseRepresentation
bin10011000010100001…
…011011011000100000
31221202201212221011102
4103002201123120200
5313332003141000
613220325133532
71322415064154
oct230241333040
957681787142
1020443412000
118740856020
123b6655a2a8
131c0a508abb
14dbd14b064
157e9b573d5
hex4c285b620

20443412000 has 192 divisors, whose sum is σ = 57181033728. Its totient is φ = 7110400000.

The previous prime is 20443411991. The next prime is 20443412009. The reversal of 20443412000 is 21434402.

It is an interprime number because it is at equal distance from previous prime (20443411991) and next prime (20443412009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20443412009) 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 31 ways as a sum of consecutive naturals, for example, 1001900 + ... + 1022100.

It is an arithmetic number, because the mean of its divisors is an integer number (297817884).

Almost surely, 220443412000 is an apocalyptic number.

20443412000 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 20443412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28590516864).

20443412000 is an abundant number, since it is smaller than the sum of its proper divisors (36737621728).

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

20443412000 is a wasteful number, since it uses less digits than its factorization.

20443412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20260 (or 20242 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20443412000 its reverse (21434402), we get a palindrome (20464846402).

The spelling of 20443412000 in words is "twenty billion, four hundred forty-three million, four hundred twelve thousand".