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11052122416566 = 2371147796442861
BaseRepresentation
bin1010000011010100010111…
…0101001010010110110110
31110010120110102011210010020
42200311011311022112312
52422034221314312231
635301135215510010
72220326616335430
oct240650565122666
943116412153106
1011052122416566
1135811a6a80a40
1212a5b85528306
13622297accc6a
142a2cd5b09650
15142757543396
hexa0d45d4a5b6

11052122416566 has 128 divisors (see below), whose sum is σ = 28501159772160. Its totient is φ = 2774037801600.

The previous prime is 11052122416477. The next prime is 11052122416567. The reversal of 11052122416566 is 66561422125011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11052122416567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1506025 + ... + 4936836.

It is an arithmetic number, because the mean of its divisors is an integer number (222665310720).

Almost surely, 211052122416566 is an apocalyptic number.

11052122416566 is an abundant number, since it is smaller than the sum of its proper divisors (17449037355594).

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

11052122416566 is a wasteful number, since it uses less digits than its factorization.

11052122416566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6443010.

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 11052122416566 in words is "eleven trillion, fifty-two billion, one hundred twenty-two million, four hundred sixteen thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 79 94 141 154 158 231 237 282 329 462 474 517 553 658 869 987 1034 1106 1551 1659 1738 1974 2607 3102 3318 3619 3713 5214 6083 7238 7426 10857 11139 12166 18249 21714 22278 25991 36498 40843 51982 77973 81686 122529 155946 245058 285901 571802 857703 1715406 6442861 12885722 19328583 38657166 45100027 70871471 90200054 135300081 141742942 212614413 270600162 302814467 425228826 496100297 508986019 605628934 908443401 992200594 1017972038 1488300891 1526958057 1816886802 2119701269 2976601782 3053916114 3330959137 3562902133 4239402538 5598846209 6359103807 6661918274 7125804266 9992877411 10688706399 11197692418 12718207614 16796538627 19985754822 21377412798 23316713959 23922342893 33593077254 39191923463 46633427918 47844685786 69950141877 71767028679 78383846926 117575770389 139900283754 143534057358 167456400251 235151540778 263145771823 334912800502 502369200753 526291543646 789437315469 1004738401506 1578874630938 1842020402761 3684040805522 5526061208283 11052122416566