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16492942224 = 24331117204161
BaseRepresentation
bin11110101110000111…
…00101001110010000
31120120102101021102000
433113003211032100
5232234143122344
611324324554000
71122465460443
oct172703451620
946512337360
1016492942224
116aa3921670
123243552900
13172ac39a15
14b2660b65a
15667e17a69
hex3d70e5390

16492942224 has 160 divisors (see below), whose sum is σ = 54682750080. Its totient is φ = 4703846400.

The previous prime is 16492942181. The next prime is 16492942237. The reversal of 16492942224 is 42224929461.

It is a happy number.

16492942224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16492942224.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21297 + ... + 182864.

It is an arithmetic number, because the mean of its divisors is an integer number (341767188).

Almost surely, 216492942224 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 16492942224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27341375040).

16492942224 is an abundant number, since it is smaller than the sum of its proper divisors (38189807856).

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

16492942224 is a wasteful number, since it uses less digits than its factorization.

16492942224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204206 (or 204194 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 16492942224 in words is "sixteen billion, four hundred ninety-two million, nine hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3366 3672 4488 4752 5049 6732 7344 8976 10098 13464 20196 26928 40392 80784 204161 408322 612483 816644 1224966 1633288 1837449 2245771 2449932 3266576 3470737 3674898 4491542 4899864 5512347 6737313 6941474 7349796 8983084 9799728 10412211 11024694 13474626 13882948 14699592 17966168 20211939 20824422 22049388 26949252 27765896 29399184 31236633 35932336 38178107 40423878 41648844 44098776 53898504 55531792 60635817 62473266 76356214 80847756 83297688 88197552 93709899 107797008 114534321 121271634 124946532 152712428 161695512 166595376 187419798 229068642 242543268 249893064 305424856 323391024 343602963 374839596 458137284 485086536 499786128 610849712 687205926 749679192 916274568 970173072 1030808889 1374411852 1499358384 1832549136 2061617778 2748823704 4123235556 5497647408 8246471112 16492942224