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16956968226 = 2311476783983
BaseRepresentation
bin11111100101011011…
…01100110100100010
31121202202112020102020
433302231230310202
5234211440440401
611442342402310
71140131565102
oct176255546442
947682466366
1016956968226
117211848230
123352a30396
1317a3107913
14b6c0bb202
15693a26d36
hex3f2b6cd22

16956968226 has 128 divisors (see below), whose sum is σ = 38849642496. Its totient is φ = 4889417280.

The previous prime is 16956968221. The next prime is 16956968263. The reversal of 16956968226 is 62286965961.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16956968226.

It is not an unprimeable number, because it can be changed into a prime (16956968221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17249731 + ... + 17250713.

It is an arithmetic number, because the mean of its divisors is an integer number (303512832).

Almost surely, 216956968226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16956968226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19424821248).

16956968226 is an abundant number, since it is smaller than the sum of its proper divisors (21892674270).

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

16956968226 is a wasteful number, since it uses less digits than its factorization.

16956968226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196.

The product of its digits is 16796160, while the sum is 60.

The spelling of 16956968226 in words is "sixteen billion, nine hundred fifty-six million, nine hundred sixty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 47 66 67 83 94 134 141 166 201 249 282 402 498 517 737 913 983 1034 1474 1551 1826 1966 2211 2739 2949 3102 3149 3901 4422 5478 5561 5898 6298 7802 9447 10813 11122 11703 16683 18894 21626 23406 32439 33366 34639 42911 46201 61171 64878 65861 69278 81589 85822 92402 103917 122342 128733 131722 138603 163178 183513 197583 207834 244767 257466 261367 277206 367026 395166 489534 508211 522734 724471 784101 897479 1016422 1448942 1524633 1568202 1794958 2173413 2692437 2875037 3049266 3095467 3834683 4346826 5384874 5466463 5750074 6190934 7669366 8625111 9286401 10932926 11504049 16399389 17250222 18572802 23008098 32798778 34050137 42181513 60131093 68100274 84363026 102150411 120262186 126544539 180393279 204300822 253089078 256923761 360786558 513847522 770771283 1541542566 2826161371 5652322742 8478484113 16956968226