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16441245216 = 2534114712269
BaseRepresentation
bin11110100111111100…
…10111111000100000
31120102211002210110000
433103332113320200
5232132424321331
611315240540000
71121300164344
oct172376277040
946384083400
1016441245216
116a77721970
12322a181600
131720309086
14b1d7d1624
156636050e6
hex3d3f97e20

16441245216 has 240 divisors, whose sum is σ = 53875704960. Its totient is φ = 4875793920.

The previous prime is 16441245209. The next prime is 16441245217. The reversal of 16441245216 is 61254214461.

16441245216 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 124 + 521 + 6 = 666.

It is a super-3 number, since 3×164412452163 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16441245217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1333930 + ... + 1346198.

It is an arithmetic number, because the mean of its divisors is an integer number (224482104).

Almost surely, 216441245216 is an apocalyptic number.

16441245216 is a gapful number since it is divisible by the number (16) 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 16441245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26937852480).

16441245216 is an abundant number, since it is smaller than the sum of its proper divisors (37434459744).

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

16441245216 is a wasteful number, since it uses less digits than its factorization.

16441245216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12349 (or 12332 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 16441245216 its reverse (61254214461), we get a palindrome (77695459677).

It can be divided in two parts, 164412 and 45216, that added together give a triangular number (209628 = T647).

The spelling of 16441245216 in words is "sixteen billion, four hundred forty-one million, two hundred forty-five thousand, two hundred sixteen".