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16684084064 = 254722694889
BaseRepresentation
bin11111000100111001…
…01110101101100000
31121001202001021201102
433202130232231200
5233132111142224
611355313453532
71130306242334
oct174234565540
947052037642
1016684084064
11709180432a
1232975712a8
13175b7120bb
14b43b657c4
15679ac24ae
hex3e272eb60

16684084064 has 48 divisors (see below), whose sum is σ = 33567307200. Its totient is φ = 8159284224.

The previous prime is 16684084061. The next prime is 16684084117. The reversal of 16684084064 is 46048048661.

It is a super-2 number, since 2×166840840642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16684084061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3410132 + ... + 3415020.

It is an arithmetic number, because the mean of its divisors is an integer number (699318900).

Almost surely, 216684084064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16684084064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783653600).

16684084064 is an abundant number, since it is smaller than the sum of its proper divisors (16883223136).

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

16684084064 is a wasteful number, since it uses less digits than its factorization.

16684084064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7215 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The spelling of 16684084064 in words is "sixteen billion, six hundred eighty-four million, eighty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 2269 4538 4889 9076 9778 18152 19556 36304 39112 72608 78224 106643 156448 213286 229783 426572 459566 853144 919132 1706288 1838264 3412576 3676528 7353056 11093141 22186282 44372564 88745128 177490256 354980512 521377627 1042755254 2085510508 4171021016 8342042032 16684084064