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16859245984 = 2571719435419
BaseRepresentation
bin11111011001110001…
…11010110110100000
31121111221122102200221
433230320322312200
5234011431332414
611424532052424
71134534140440
oct175470726640
947457572627
1016859245984
117171672049
123326164114
131788ab0ac9
14b5d120120
1568a172224
hex3ece3ada0

16859245984 has 192 divisors, whose sum is σ = 43269811200. Its totient is φ = 6291468288.

The previous prime is 16859245981. The next prime is 16859245987. The reversal of 16859245984 is 48954295861.

It is an interprime number because it is at equal distance from previous prime (16859245981) and next prime (16859245987).

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (16859245981) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3108427 + ... + 3113845.

It is an arithmetic number, because the mean of its divisors is an integer number (225363600).

Almost surely, 216859245984 is an apocalyptic number.

16859245984 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 16859245984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21634905600).

16859245984 is an abundant number, since it is smaller than the sum of its proper divisors (26410565216).

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

16859245984 is a wasteful number, since it uses less digits than its factorization.

16859245984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5507 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 61.

The spelling of 16859245984 in words is "sixteen billion, eight hundred fifty-nine million, two hundred forty-five thousand, nine hundred eighty-four".