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16290000000 = 273257181
BaseRepresentation
bin11110010101111010…
…11010110010000000
31120001021111202000100
433022331122302000
5231330220000000
611252235122400
71114452500241
oct171275326200
946037452010
1016290000000
1169aa30a11a
1231a75a3400
1316c7b92471
14b076a0cc8
156551cba00
hex3caf5ac80

16290000000 has 384 divisors, whose sum is σ = 58918794480. Its totient is φ = 4320000000.

The previous prime is 16289999989. The next prime is 16290000061. The reversal of 16290000000 is 9261.

16290000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16247071296 + 42928704 = 127464^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 89999910 + ... + 90000090.

Almost surely, 216290000000 is an apocalyptic number.

16290000000 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 16290000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29459397240).

16290000000 is an abundant number, since it is smaller than the sum of its proper divisors (42628794480).

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

16290000000 is an frugal number, since it uses more digits than its factorization.

16290000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 16290000000 its reverse (9261), we get a palindrome (16290009261).

The spelling of 16290000000 in words is "sixteen billion, two hundred ninety million", and thus it is an aban number.