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132653506441365 = 325713137236452691
BaseRepresentation
bin11110001010010111001101…
…001000010011000010010101
3122101200112212221112001010200
4132022113031020103002111
5114341343340122110430
61150044102442011113
736640620360255450
oct3612271510230225
9571615787461120
10132653506441365
11392a4044130988
1212a6517aaa6a99
135903230ac9c40
1424a866d1ba497
15105094ea19460
hex78a5cd213095

132653506441365 has 96 divisors (see below), whose sum is σ = 285059798989056. Its totient is φ = 55568273771520.

The previous prime is 132653506441333. The next prime is 132653506441367. The reversal of 132653506441365 is 563144605356231.

132653506441365 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 535 + 0 + 6 + 4 + 41 + 3 + 65 = 666.

It is not a de Polignac number, because 132653506441365 - 25 = 132653506441333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132653506441367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117665331 + ... + 118787360.

It is an arithmetic number, because the mean of its divisors is an integer number (2969372906136).

Almost surely, 2132653506441365 is an apocalyptic number.

132653506441365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132653506441365 is an abundant number, since it is smaller than the sum of its proper divisors (152406292547691).

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

132653506441365 is a wasteful number, since it uses less digits than its factorization.

132653506441365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236452859 (or 236452856 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 132653506441365 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred six million, four hundred forty-one thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 137 195 273 315 411 455 585 685 819 959 1233 1365 1781 2055 2877 4095 4795 5343 6165 8631 8905 12467 14385 16029 26715 37401 43155 62335 80145 112203 187005 561015 236452691 709358073 1182263455 1655168837 2128074219 3073884983 3546790365 4965506511 8275844185 9221654949 10640371095 14896519533 15369424915 21517194881 24827532555 27664964847 32394018667 46108274745 64551584643 74482597665 97182056001 107585974405 138324824235 161970093335 193654753929 226758130669 291546168003 322757923215 421122242671 485910280005 680274392007 968273769645 1133790653345 1263366728013 1457730840015 2040823176021 2105611213355 2947855698697 3401371960035 3790100184039 6316833640065 8843567096091 10204115880105 14739278493485 18950500920195 26530701288273 44217835480455 132653506441365