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16444893168 = 24321124347467
BaseRepresentation
bin11110101000011000…
…10010011111110000
31120110001222010111100
433110030102133300
5232134343040133
611315451044400
71121343166644
oct172414223760
946401863440
1016444893168
116a79793700
12322b440700
131720cb5622
14b200a0c24
15663ac5e13
hex3d43127f0

16444893168 has 360 divisors, whose sum is σ = 52978109184. Its totient is φ = 4753647360.

The previous prime is 16444893163. The next prime is 16444893173. The reversal of 16444893168 is 86139844461.

16444893168 is a `hidden beast` number, since 164 + 448 + 9 + 31 + 6 + 8 = 666.

16444893168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16444893163) and next prime (16444893173).

It is a super-2 number, since 2×164448931682 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16444893163) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 35213671 + ... + 35214137.

Almost surely, 216444893168 is an apocalyptic number.

16444893168 is a gapful number since it is divisible by the number (18) 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 16444893168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26489054592).

16444893168 is an abundant number, since it is smaller than the sum of its proper divisors (36533216016).

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

16444893168 is a wasteful number, since it uses less digits than its factorization.

16444893168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 573 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 16444893168 in words is "sixteen billion, four hundred forty-four million, eight hundred ninety-three thousand, one hundred sixty-eight".