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132433104377604 = 22331598297278587
BaseRepresentation
bin11110000111001001111100…
…001001001001011100000100
3122100220110222202011010121010
4132013021330021021130010
5114324240444210040404
61145354532300522220
736615655532526132
oct3607117411113404
9570813882133533
10132433104377604
1139219622996268
1212a2a50a850370
1358b8507a1b3b4
14249bb21672752
151049d503a9189
hex78727c249704

132433104377604 has 96 divisors (see below), whose sum is σ = 324776419430400. Its totient is φ = 41945617687680.

The previous prime is 132433104377579. The next prime is 132433104377683. The reversal of 132433104377604 is 406773401334231.

132433104377604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14555599 + ... + 21834185.

It is an arithmetic number, because the mean of its divisors is an integer number (3383087702400).

Almost surely, 2132433104377604 is an apocalyptic number.

It is an amenable number.

132433104377604 is an abundant number, since it is smaller than the sum of its proper divisors (192343315052796).

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

132433104377604 is a wasteful number, since it uses less digits than its factorization.

132433104377604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279513 (or 7279511 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 48.

The spelling of 132433104377604 in words is "one hundred thirty-two trillion, four hundred thirty-three billion, one hundred four million, three hundred seventy-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 12 31 59 62 93 118 124 177 186 236 354 372 708 829 1658 1829 2487 3316 3658 4974 5487 7316 9948 10974 21948 25699 48911 51398 77097 97822 102796 146733 154194 195644 293466 308388 586932 1516241 3032482 4548723 6064964 7278587 9097446 14557174 18194892 21835761 29114348 43671522 87343044 225636197 429436633 451272394 676908591 858873266 902544788 1288309899 1353817182 1717746532 2576619798 2707634364 5153239596 6033948623 12067897246 13312535623 18101845869 24135794492 26625071246 36203691738 39937606869 53250142492 72407383476 79875213738 159750427476 187052407313 356002968757 374104814626 561157221939 712005937514 748209629252 1068008906271 1122314443878 1424011875028 2136017812542 2244628887756 4272035625084 11036092031467 22072184062934 33108276094401 44144368125868 66216552188802 132433104377604