Search a number
-
+
16561688704 = 271173269599
BaseRepresentation
bin11110110110010011…
…10101000010000000
31120202012201221211221
433123021311002000
5232404243014304
611335222244424
71124262013501
oct173311650200
946665657757
1016561688704
117029706940
123262586714
13173c259b02
14b317c4ba8
1566de97054
hex3db275080

16561688704 has 128 divisors (see below), whose sum is σ = 36683280000. Its totient is φ = 7384965120.

The previous prime is 16561688699. The next prime is 16561688771. The reversal of 16561688704 is 40788616561.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27648597 + ... + 27649195.

It is an arithmetic number, because the mean of its divisors is an integer number (286588125).

Almost surely, 216561688704 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 16561688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341640000).

16561688704 is an abundant number, since it is smaller than the sum of its proper divisors (20121591296).

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

16561688704 is a wasteful number, since it uses less digits than its factorization.

16561688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 16561688704 in words is "sixteen billion, five hundred sixty-one million, six hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 128 146 176 269 292 352 538 584 599 704 803 1076 1168 1198 1408 1606 2152 2336 2396 2959 3212 4304 4672 4792 5918 6424 6589 8608 9344 9584 11836 12848 13178 17216 19168 19637 23672 25696 26356 34432 38336 39274 43727 47344 51392 52712 76672 78548 87454 94688 102784 105424 157096 161131 174908 189376 210848 216007 314192 322262 349816 378752 421696 432014 480997 628384 644524 699632 843392 864028 961994 1256768 1289048 1399264 1728056 1772441 1923988 2513536 2578096 2798528 3456112 3544882 3847976 5156192 5597056 6912224 7089764 7695952 10312384 11762563 13824448 14179528 15391904 20624768 23525126 27648896 28359056 30783808 47050252 56718112 61567616 94100504 113436224 129388193 188201008 226872448 258776386 376402016 517552772 752804032 1035105544 1505608064 2070211088 4140422176 8280844352 16561688704