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132165261535530 = 235296113099190121
BaseRepresentation
bin11110000011010000011111…
…011101110010100100101010
3122022221212122022120222121010
4132003100133131302210222
5114310343423423114110
61145031514415124350
736560424250115466
oct3603203735624452
9568855568528533
10132165261535530
1139125a77660743
12129a661a8136b6
135899191165bb2
14248cb932634a6
151042dc5dcc020
hex78341f77292a

132165261535530 has 128 divisors (see below), whose sum is σ = 333540910944000. Its totient is φ = 33468177254400.

The previous prime is 132165261535529. The next prime is 132165261535579. The reversal of 132165261535530 is 35535162561231.

132165261535530 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132165261535530.

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, 695068870 + ... + 695258990.

It is an arithmetic number, because the mean of its divisors is an integer number (2605788366750).

Almost surely, 2132165261535530 is an apocalyptic number.

132165261535530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132165261535530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166770455472000).

132165261535530 is an abundant number, since it is smaller than the sum of its proper divisors (201375649408470).

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

132165261535530 is a wasteful number, since it uses less digits than its factorization.

132165261535530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203320.

The product of its (nonzero) digits is 2430000, while the sum is 48.

The spelling of 132165261535530 in words is "one hundred thirty-two trillion, one hundred sixty-five billion, two hundred sixty-one million, five hundred thirty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 61 87 122 145 174 183 290 305 366 435 610 870 915 1769 1830 3538 5307 8845 10614 13099 17690 26198 26535 39297 53070 65495 78594 130990 190121 196485 379871 380242 392970 570363 759742 799039 950605 1139613 1140726 1598078 1899355 1901210 2279226 2397117 2851815 3798710 3995195 4794234 5513509 5698065 5703630 7990390 11027018 11396130 11597381 11985585 16540527 23172131 23194762 23971170 27567545 33081054 34792143 46344262 55135090 57986905 69516393 69584286 82702635 115860655 115973810 139032786 165405270 173960715 231721310 336324049 347581965 347921430 672648098 695163930 1008972147 1681620245 2017944294 2490394979 3363240490 4980789958 5044860735 7471184937 10089721470 12451974895 14942369874 24903949790 37355924685 72221454391 74711849370 144442908782 151914093719 216664363173 303828187438 361107271955 433328726346 455742281157 722214543910 759570468595 911484562314 1083321815865 1519140937190 2166643631730 2278711405785 4405508717851 4557422811570 8811017435702 13216526153553 22027543589255 26433052307106 44055087178510 66082630767765 132165261535530