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132214535102436 = 223232941402891649
BaseRepresentation
bin11110000011111110011000…
…011001100001111111100100
3122100010120211021111112100120
4132003332120121201333210
5114312200331441234221
61145110304030441540
736564120301405503
oct3603763031417744
9570116737445316
10132214535102436
113914496226a866
12129b40903632b0
1358a0a1456cc47
1424913092d883a
15104430bacc5c6
hex783f98661fe4

132214535102436 has 96 divisors (see below), whose sum is σ = 341136417888000. Its totient is φ = 39709000826880.

The previous prime is 132214535102431. The next prime is 132214535102453. The reversal of 132214535102436 is 634201535412231.

It is not an unprimeable number, because it can be changed into a prime (132214535102431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201117661 + ... + 201773988.

It is an arithmetic number, because the mean of its divisors is an integer number (3553504353000).

Almost surely, 2132214535102436 is an apocalyptic number.

It is an amenable number.

132214535102436 is an abundant number, since it is smaller than the sum of its proper divisors (208921882785564).

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

132214535102436 is a wasteful number, since it uses less digits than its factorization.

132214535102436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402891749 (or 402891747 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 132214535102436 in words is "one hundred thirty-two trillion, two hundred fourteen billion, five hundred thirty-five million, one hundred two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 23 29 41 46 58 69 82 87 92 116 123 138 164 174 246 276 348 492 667 943 1189 1334 1886 2001 2378 2668 2829 3567 3772 4002 4756 5658 7134 8004 11316 14268 27347 54694 82041 109388 164082 328164 402891649 805783298 1208674947 1611566596 2417349894 4834699788 9266507927 11683857821 16518557609 18533015854 23367715642 27799523781 33037115218 35051573463 37066031708 46735431284 49555672827 55599047562 66074230436 70103146926 99111345654 111198095124 140206293852 198222691308 268728729883 379926825007 479038170661 537457459766 759853650014 806186189649 958076341322 1074914919532 1139780475021 1437114511983 1519707300028 1612372379298 1916152682644 2279560950042 2874229023966 3224744758596 4559121900084 5748458047932 11017877925203 22035755850406 33053633775609 44071511700812 66107267551218 132214535102436