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132661516016106 = 23471153200661173
BaseRepresentation
bin11110001010011110101010…
…100010011001100111101010
3122101201022120010221121010000
4132022132222202121213222
5114342011241100003411
61150051505323003430
736641323015444350
oct3612365242314752
9571638503847100
10132661516016106
11392a7484348a40
1212a66835369576
135903c0931318c
1424a8bccc577d0
151050c6cca6956
hex78a7aa8999ea

132661516016106 has 160 divisors (see below), whose sum is σ = 377602591943808. Its totient is φ = 33807394258560.

The previous prime is 132661516016093. The next prime is 132661516016147. The reversal of 132661516016106 is 601610615166231.

132661516016106 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 6 + 15 + 16 + 0 + 1 + 610 + 6 = 666.

It is a super-3 number, since 3×1326615160161063 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99669465 + ... + 100991708.

Almost surely, 2132661516016106 is an apocalyptic number.

132661516016106 is an abundant number, since it is smaller than the sum of its proper divisors (244941075927702).

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

132661516016106 is a wasteful number, since it uses less digits than its factorization.

132661516016106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200661258 (or 200661249 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 132661516016106 in words is "one hundred thirty-two trillion, six hundred sixty-one billion, five hundred sixteen million, sixteen thousand, one hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 53 54 63 66 77 81 99 106 126 154 159 162 189 198 231 297 318 371 378 462 477 567 583 594 693 742 891 954 1113 1134 1166 1386 1431 1749 1782 2079 2226 2862 3339 3498 4081 4158 4293 5247 6237 6678 8162 8586 10017 10494 12243 12474 15741 20034 24486 30051 31482 36729 47223 60102 73458 94446 110187 220374 330561 661122 200661173 401322346 601983519 1203967038 1404628211 1805950557 2207272903 2809256422 3611901114 4213884633 4414545806 5417851671 6621818709 8427769266 10635042169 10835703342 12641653899 13243637418 15450910321 16253555013 19865456127 21270084338 25283307798 30901820642 31905126507 32507110026 37924961697 39730912254 46352730963 59596368381 63810253014 74445295183 75849923394 92705461926 95715379521 113774885091 116985463859 119192736762 139058192889 148890590366 178789105143 191430759042 223335885549 227549770182 233970927718 278116385778 287146138563 350956391577 357578210286 417174578667 446671771098 574292277126 670007656647 701912783154 818898247013 834349157334 861438415689 1052869174731 1251523736001 1340015313294 1637796494026 1722876831378 2010022969941 2105738349462 2456694741039 2503047472002 3158607524193 4020045939882 4913389482078 6030068909823 6317215048386 7370084223117 9475822572579 12060137819646 14740168446234 18951645145158 22110252669351 44220505338702 66330758008053 132661516016106