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16684686720 = 2733513172257
BaseRepresentation
bin11111000100111110…
…00001110110000000
31121001210011220102000
433202133001312000
5233132234433340
611355334424000
71130314332342
oct174237016600
947053156360
1016684686720
117092086099
123297802000
13175b8934c0
14b43c81292
15679b90d30
hex3e27c1d80

16684686720 has 768 divisors, whose sum is σ = 67863700800. Its totient is φ = 3850371072.

The previous prime is 16684686691. The next prime is 16684686721. The reversal of 16684686720 is 2768648661.

It is a super-3 number, since 3×166846867203 (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16684686721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64920832 + ... + 64921088.

Almost surely, 216684686720 is an apocalyptic number.

16684686720 is a gapful number since it is divisible by the number (10) 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 16684686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33931850400).

16684686720 is an abundant number, since it is smaller than the sum of its proper divisors (51179014080).

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

16684686720 is a wasteful number, since it uses less digits than its factorization.

16684686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 16684686720 in words is "sixteen billion, six hundred eighty-four million, six hundred eighty-six thousand, seven hundred twenty".