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16438239104 = 27723279439
BaseRepresentation
bin11110100111100101…
…11001111110000000
31120102121110001211112
433103302321332000
5232131142122404
611315052302452
71121232504230
oct172362717600
946377401745
1016438239104
116a75a59381
123229171a28
13171c7c5a01
14b1d24bcc0
1566320e56e
hex3d3cb9f80

16438239104 has 192 divisors, whose sum is σ = 39709824000. Its totient is φ = 6638201856.

The previous prime is 16438239091. The next prime is 16438239113. The reversal of 16438239104 is 40193283461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37444517 + ... + 37444955.

It is an arithmetic number, because the mean of its divisors is an integer number (206822000).

Almost surely, 216438239104 is an apocalyptic number.

16438239104 is a gapful number since it is divisible by the number (14) 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 16438239104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19854912000).

16438239104 is an abundant number, since it is smaller than the sum of its proper divisors (23271584896).

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

16438239104 is an equidigital number, since it uses as much as digits as its factorization.

16438239104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 16438239104 in words is "sixteen billion, four hundred thirty-eight million, two hundred thirty-nine thousand, one hundred four".