Search a number
-
+
16610055264 = 2533112158881
BaseRepresentation
bin11110111100000100…
…10101010001100000
31120212120202020022000
433132002111101200
5233004133232024
611344111044000
71125420066045
oct173602252140
946776666260
1016610055264
117053a41400
123276810600
13174929288a
14b37db51cc
1567334ccc9
hex3de095460

16610055264 has 144 divisors (see below), whose sum is σ = 53250891120. Its totient is φ = 5033318400.

The previous prime is 16610055239. The next prime is 16610055331. The reversal of 16610055264 is 46255001661.

16610055264 is a `hidden beast` number, since 16 + 610 + 0 + 5 + 5 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25104 + ... + 183984.

It is an arithmetic number, because the mean of its divisors is an integer number (369797855).

Almost surely, 216610055264 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 16610055264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26625445560).

16610055264 is an abundant number, since it is smaller than the sum of its proper divisors (36640835856).

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

16610055264 is a wasteful number, since it uses less digits than its factorization.

16610055264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158922 (or 158897 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 16610055264 in words is "sixteen billion, six hundred ten million, fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1188 1452 1584 1936 2178 2376 2904 3168 3267 3872 4356 4752 5808 6534 8712 9504 11616 13068 17424 26136 34848 52272 104544 158881 317762 476643 635524 953286 1271048 1429929 1747691 1906572 2542096 2859858 3495382 3813144 4289787 5084192 5243073 5719716 6990764 7626288 8579574 10486146 11439432 13981528 15252576 15729219 17159148 19224601 20972292 22878864 27963056 31458438 34318296 38449202 41944584 45757728 47187657 55926112 57673803 62916876 68636592 76898404 83889168 94375314 115347606 125833752 137273184 153796808 167778336 173021409 188750628 230695212 251667504 307593616 346042818 377501256 461390424 503335008 519064227 615187232 692085636 755002512 922780848 1038128454 1384171272 1510005024 1845561696 2076256908 2768342544 4152513816 5536685088 8305027632 16610055264