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52075753821 = 34713291791361
BaseRepresentation
bin110000011111111101…
…001111000101011101
311222102020201101120000
4300133331033011131
51323122343110241
635531232044513
73522325414110
oct603775170535
9158366641500
1052075753821
11200a3450683
12a114093739
134babb1b820
1427402a8577
15154bc1ceb6
hexc1ff4f15d

52075753821 has 160 divisors (see below), whose sum is σ = 99672249600. Its totient is φ = 26353797120.

The previous prime is 52075753801. The next prime is 52075753867. The reversal of 52075753821 is 12835757025.

52075753821 is a `hidden beast` number, since 5 + 20 + 7 + 575 + 38 + 21 = 666.

It is not a de Polignac number, because 52075753821 - 26 = 52075753757 is a prime.

It is a super-2 number, since 2×520757538212 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52075753801) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38262181 + ... + 38263541.

It is an arithmetic number, because the mean of its divisors is an integer number (622951560).

Almost surely, 252075753821 is an apocalyptic number.

It is an amenable number.

52075753821 is a deficient number, since it is larger than the sum of its proper divisors (47596495779).

52075753821 is a wasteful number, since it uses less digits than its factorization.

52075753821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 52075753821 in words is "fifty-two billion, seventy-five million, seven hundred fifty-three thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 13 21 27 29 39 63 81 87 91 117 179 189 203 261 273 351 377 537 567 609 783 819 1053 1131 1253 1361 1611 1827 2327 2349 2457 2639 3393 3759 4083 4833 5191 5481 6981 7371 7917 9527 10179 11277 12249 14499 15573 16289 16443 17693 20943 23751 28581 30537 33831 36337 36747 39469 46719 48867 53079 62829 67483 71253 85743 101493 109011 110241 118407 123851 140157 146601 159237 188487 202449 213759 243619 257229 276283 327033 355221 371553 420471 439803 472381 477711 513097 607347 730857 771687 828849 981099 1065663 1114659 1319409 1417143 1433133 1539291 1705333 1822041 2192571 2486547 2943297 3167047 3196989 3343977 3591679 4251429 4617873 5115999 5466123 6577713 7064951 7459641 9501141 10031931 10775037 12754287 13853619 15347997 19733139 21194853 22169329 22378923 28503423 32325111 38262861 41560857 46043991 49454657 63584559 66507987 85510269 91844363 96975333 138131973 148363971 190753677 199523961 256530807 275533089 290925999 445091913 572261031 598571883 642910541 826599267 1335275739 1795715649 1928731623 2479797801 4005827217 5786194869 7439393403 17358584607 52075753821