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21671216666970 = 23513419471431149
BaseRepresentation
bin1001110110101101110010…
…01010111101100101011010
32211201202012100110111211020
410323112321022331211122
510320030122431320340
6114031341451143310
74364456644221423
oct473267112754532
984652170414736
1021671216666970
1169a5790928492
12252003a744b36
13c12782732bb0
1454cc6cd8c64a
15278ab87a99d0
hex13b5b92bd95a

21671216666970 has 128 divisors (see below), whose sum is σ = 57438529747200. Its totient is φ = 5198845470720.

The previous prime is 21671216666959. The next prime is 21671216667013. The reversal of 21671216666970 is 7966661217612.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14426956 + ... + 15858104.

It is an arithmetic number, because the mean of its divisors is an integer number (448738513650).

Almost surely, 221671216666970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21671216666970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28719264873600).

21671216666970 is an abundant number, since it is smaller than the sum of its proper divisors (35767313080230).

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

21671216666970 is a wasteful number, since it uses less digits than its factorization.

21671216666970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432160.

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 21671216666970 in words is "twenty-one trillion, six hundred seventy-one billion, two hundred sixteen million, six hundred sixty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 533 615 947 1066 1230 1599 1894 2665 2841 3198 4735 5330 5682 7995 9470 12311 14205 15990 24622 28410 36933 38827 61555 73866 77654 116481 123110 184665 194135 232962 369330 388270 504751 582405 1009502 1164810 1431149 1514253 2523755 2862298 3028506 4293447 5047510 7155745 7571265 8586894 14311490 15142530 18604937 21467235 37209874 42934470 55814811 58677109 93024685 111629622 117354218 176031327 186049370 279074055 293385545 352062654 558148110 586771090 762802417 880156635 1355298103 1525604834 1760313270 2288407251 2710596206 3814012085 4065894309 4576814502 6776490515 7628024170 8131788618 11442036255 13552981030 17618875339 20329471545 22884072510 35237750678 40658943090 52856626017 55567222223 88094376695 105713252034 111134444446 166701666669 176188753390 264283130085 277836111115 333403333338 528566260170 555672222230 722373888899 833508333345 1444747777798 1667016666690 2167121666697 3611869444495 4334243333394 7223738888990 10835608333485 21671216666970