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16697085531776 = 2713231512889233
BaseRepresentation
bin1111001011111001011111…
…0110100001011010000000
32012010020002121011212122222
43302332113312201122000
54142031112344004101
655302311334150212
73342216226202216
oct362762766413200
965106077155588
1016697085531776
115358215543a41
121a580101b2368
139416b3bb9c30
1441a201122cb6
151de4e218701b
hexf2f97da1680

16697085531776 has 128 divisors (see below), whose sum is σ = 37627534506240. Its totient is φ = 7322469580800.

The previous prime is 16697085531767. The next prime is 16697085531781. The reversal of 16697085531776 is 67713558079661.

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

It is a super-4 number, since 4×166970855317764 (a number of 54 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4334456 + ... + 7223688.

It is an arithmetic number, because the mean of its divisors is an integer number (293965113330).

Almost surely, 216697085531776 is an apocalyptic number.

16697085531776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16697085531776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18813767253120).

16697085531776 is an abundant number, since it is smaller than the sum of its proper divisors (20930448974464).

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

16697085531776 is a wasteful number, since it uses less digits than its factorization.

16697085531776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889434 (or 2889422 counting only the distinct ones).

The product of its (nonzero) digits is 400075200, while the sum is 71.

The spelling of 16697085531776 in words is "sixteen trillion, six hundred ninety-seven billion, eighty-five million, five hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 151 184 208 299 302 368 416 598 604 736 832 1196 1208 1472 1664 1963 2392 2416 2944 3473 3926 4784 4832 6946 7852 9568 9664 13892 15704 19136 19328 27784 31408 38272 45149 55568 62816 90298 111136 125632 180596 222272 251264 361192 444544 722384 1444768 2889233 2889536 5778466 5779072 11556932 23113864 37560029 46227728 66452359 75120058 92455456 132904718 150240116 184910912 265809436 300480232 369821824 436274183 531618872 600960464 863880667 872548366 1063237744 1201920928 1727761334 1745096732 2126475488 2403841856 3455522668 3490193464 4252950976 4807683712 5671564379 6911045336 6980386928 8505901952 10034306209 11343128758 13822090672 13960773856 20068612418 22686257516 27644181344 27921547712 40137224836 45372515032 55288362688 55843095424 80274449672 90745030064 110576725376 130445980717 160548899344 181490060128 260891961434 321097798688 362980120256 521783922868 642195597376 725960240512 1043567845736 1284391194752 2087135691472 4174271382944 8348542765888 16697085531776