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16894731168 = 25347331613
BaseRepresentation
bin11111011110000000…
…10010001110100000
31121121102102021020000
433233000102032200
5234100022344133
611432240420000
71135444563000
oct175700221640
947542367200
1016894731168
11718a6a9647
123336017600
131793256663
14b63b1a000
1568d331413
hex3ef0123a0

16894731168 has 480 divisors, whose sum is σ = 59910681600. Its totient is φ = 4663733760.

The previous prime is 16894731151. The next prime is 16894731181. The reversal of 16894731168 is 86113749861.

16894731168 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 473 + 1 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27560430 + ... + 27561042.

It is an arithmetic number, because the mean of its divisors is an integer number (124813920).

Almost surely, 216894731168 is an apocalyptic number.

16894731168 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 16894731168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29955340800).

16894731168 is an abundant number, since it is smaller than the sum of its proper divisors (43015950432).

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

16894731168 is an equidigital number, since it uses as much as digits as its factorization.

16894731168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 656 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 16894731168 in words is "sixteen billion, eight hundred ninety-four million, seven hundred thirty-one thousand, one hundred sixty-eight".