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132251344521054 = 231141611099372883
BaseRepresentation
bin11110000100100000101010…
…011010010100011101011110
3122100021002211120220202000020
4132010200222122110131132
5114313301223144133204
61145135232352213010
736566562414324663
oct3604405232243536
9570232746822006
10132251344521054
1139159531218890
12129bb24383a166
1358a432c600a15
142492ddbc4da6a
151045263426bd9
hex78482a69475e

132251344521054 has 128 divisors (see below), whose sum is σ = 300463280119296. Its totient is φ = 38453709312000.

The previous prime is 132251344521019. The next prime is 132251344521167. The reversal of 132251344521054 is 450125443152231.

It is a junction number, because it is equal to n+sod(n) for n = 132251344520997 and 132251344521015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1814534097 + ... + 1814606979.

It is an arithmetic number, because the mean of its divisors is an integer number (2347369375932).

Almost surely, 2132251344521054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132251344521054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150231640059648).

132251344521054 is an abundant number, since it is smaller than the sum of its proper divisors (168211935598242).

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

132251344521054 is a wasteful number, since it uses less digits than its factorization.

132251344521054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83994.

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 132251344521054 its reverse (450125443152231), we get a palindrome (582376787673285).

The spelling of 132251344521054 in words is "one hundred thirty-two trillion, two hundred fifty-one billion, three hundred forty-four million, five hundred twenty-one thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 41 61 66 82 122 123 183 246 366 451 671 902 1342 1353 2013 2501 2706 4026 5002 7503 10993 15006 21986 27511 32979 55022 65958 72883 82533 120923 145766 165066 218649 241846 362769 437298 450713 670573 725538 801713 901426 1341146 1352139 1603426 2011719 2405139 2704278 2988203 4023438 4445863 4810278 4957843 5976406 7376303 8891726 8964609 9915686 13337589 14752606 14873529 17929218 22128909 26675178 27493493 29747058 32870233 44257818 48904493 54986986 65740466 82480479 97808986 98610699 146713479 164960958 182280383 197221398 293426958 302428423 364560766 546841149 604856846 801202819 907285269 1093682298 1602405638 1814570538 2005084213 2403608457 4010168426 4807216914 6015252639 8813231009 12030505278 17626462018 26439693027 32849315579 48873371959 52879386054 65698631158 97746743918 98547946737 146620115877 197095893474 293240231754 361342471369 537607091549 722684942738 1075214183098 1084027414107 1612821274647 2003808250319 2168054828214 3225642549294 4007616500638 6011424750957 12022849501914 22041890753509 44083781507018 66125672260527 132251344521054