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2122945443927 = 32721119179128677
BaseRepresentation
bin11110111001001001011…
…010001011100001010111
321111221200201101111221100
4132321021122023201113
5234240243013201202
64303133452321143
7306243365351400
oct36711132134127
97457621344840
102122945443927
117493773a3590
122a35361731b3
13125267a40b69
1474a7307a9a7
153a35184c41c
hex1ee4968b857

2122945443927 has 144 divisors (see below), whose sum is σ = 4119137193600. Its totient is φ = 1038940318080.

The previous prime is 2122945443923. The next prime is 2122945443943. The reversal of 2122945443927 is 7293445492212.

It is a happy number.

2122945443927 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 9 + 4 + 544 + 3 + 92 + 7 = 666.

It is not a de Polignac number, because 2122945443927 - 22 = 2122945443923 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122945443923) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16433913 + ... + 16562589.

It is an arithmetic number, because the mean of its divisors is an integer number (28605119400).

Almost surely, 22122945443927 is an apocalyptic number.

2122945443927 is a deficient number, since it is larger than the sum of its proper divisors (1996191749673).

2122945443927 is a wasteful number, since it uses less digits than its factorization.

2122945443927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128906 (or 128896 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 2122945443927 in words is "two trillion, one hundred twenty-two billion, nine hundred forty-five million, four hundred forty-three thousand, nine hundred twenty-seven".

Divisors: 1 3 7 9 11 19 21 33 49 57 63 77 99 133 147 171 179 209 231 399 441 537 539 627 693 931 1197 1253 1463 1611 1617 1881 1969 2793 3401 3759 4389 4851 5907 8379 8771 10203 10241 11277 13167 13783 17721 23807 26313 30609 30723 37411 41349 71421 78939 92169 96481 112233 124047 128677 166649 214263 261877 289443 336699 386031 499947 785631 868329 900739 1158093 1415447 1499841 1833139 2356893 2444863 2702217 4246341 5499417 6305173 7334589 8106651 9908129 12739023 16498251 17114041 18915519 22003767 23033183 26893493 29724387 51342123 56746557 69099549 69356903 80680479 89173161 119798287 154026369 161232281 188254451 207298647 208070709 242041437 253365013 359394861 437630477 483696843 564763353 624212127 760095039 1078184583 1128625967 1312891431 1317781157 1451090529 1694290059 1773555091 2280285117 3063413339 3385877901 3938674293 3953343471 4813935247 5320665273 9190240017 10157633703 11860030413 12414885637 14441805741 15961995819 21443893373 27570720051 33697546729 37244656911 43325417223 64331680119 101092640187 111733970733 192995040357 235882827103 303277920561 707648481309 2122945443927