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20004240000 = 27354174903
BaseRepresentation
bin10010101000010110…
…000111101010000000
31220122010111200102210
4102220112013222000
5311432041140000
613105000142120
71305503143263
oct225026075200
956563450383
1020004240000
118535965658
123a63467940
131b6a530804
14d7aaaacda
157c1307350
hex4a8587a80

20004240000 has 320 divisors, whose sum is σ = 70319240640. Its totient is φ = 5019648000.

The previous prime is 20004239999. The next prime is 20004240007. The reversal of 20004240000 is 4240002.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (20004240007) 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 39 ways as a sum of consecutive naturals, for example, 4077549 + ... + 4082451.

It is an arithmetic number, because the mean of its divisors is an integer number (219747627).

Almost surely, 220004240000 is an apocalyptic number.

20004240000 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 20004240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35159620320).

20004240000 is an abundant number, since it is smaller than the sum of its proper divisors (50315000640).

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

20004240000 is an equidigital number, since it uses as much as digits as its factorization.

20004240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20004240000 its reverse (4240002), we get a palindrome (20008480002).

It can be divided in two parts, 200042 and 40000, that added together give a palindrome (240042).

The spelling of 20004240000 in words is "twenty billion, four million, two hundred forty thousand".