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16450937728 = 27676173109
BaseRepresentation
bin11110101001000110…
…10110001110000000
31120110111100020001221
433110203112032000
5232142420001403
611320224404424
71121445443401
oct172443261600
946414306057
1016450937728
116a82142005
123231476714
1317223209a4
14b20bd59a8
156643bbdbd
hex3d48d6380

16450937728 has 64 divisors (see below), whose sum is σ = 33327133200. Its totient is φ = 8086966272.

The previous prime is 16450937717. The next prime is 16450937747. The reversal of 16450937728 is 82773905461.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5289838 + ... + 5292946.

It is a 2-persistent number, because it is pandigital, and so is 2⋅16450937728 = 32901875456, but 3⋅16450937728 = 49352813184 is not.

Almost surely, 216450937728 is an apocalyptic number.

16450937728 is the 68559-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16450937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663566600).

16450937728 is an abundant number, since it is smaller than the sum of its proper divisors (16876195472).

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

16450937728 is an equidigital number, since it uses as much as digits as its factorization.

16450937728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 16450937728 in words is "sixteen billion, four hundred fifty million, nine hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 617 1072 1234 2144 2468 3109 4288 4936 6218 8576 9872 12436 19744 24872 39488 41339 49744 78976 82678 99488 165356 198976 208303 330712 397952 416606 661424 833212 1322848 1666424 1918253 2645696 3332848 3836506 5291392 6665696 7673012 13331392 15346024 26662784 30692048 61384096 122768192 128522951 245536384 257045902 514091804 1028183608 2056367216 4112734432 8225468864 16450937728