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16380420000 = 25354743907
BaseRepresentation
bin11110100000101100…
…10101111110100000
31120021120122112221020
433100112111332200
5232021341420000
611305225125440
71116631162350
oct172026257640
946246575836
1016380420000
116a46357a9a
123211929880
131710830619
14b156bab60
1565d0dcba0
hex3d0595fa0

16380420000 has 480 divisors, whose sum is σ = 62904264192. Its totient is φ = 3652992000.

The previous prime is 16380419977. The next prime is 16380420013. The reversal of 16380420000 is 2408361.

It is a happy number.

16380420000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 79 ways as a sum of consecutive naturals, for example, 18059547 + ... + 18060453.

Almost surely, 216380420000 is an apocalyptic number.

16380420000 is a gapful number since it is divisible by the number (10) 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 16380420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31452132096).

16380420000 is an abundant number, since it is smaller than the sum of its proper divisors (46523844192).

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

16380420000 is an equidigital number, since it uses as much as digits as its factorization.

16380420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 16380420000 its reverse (2408361), we get a palindrome (16382828361).

The spelling of 16380420000 in words is "sixteen billion, three hundred eighty million, four hundred twenty thousand".