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132232534245 = 32574315976113
BaseRepresentation
bin111101100100110101…
…1000101100011100101
3110122022111211201212100
41323021223011203211
54131303012043440
6140425150042313
712360562665360
oct1731153054345
9418274751770
10132232534245
1151096900159
12217644a9399
13c614587806
146585bb50d7
15368dd5a230
hex1ec9ac58e5

132232534245 has 96 divisors (see below), whose sum is σ = 268249842432. Its totient is φ = 58996740096.

The previous prime is 132232534219. The next prime is 132232534253. The reversal of 132232534245 is 542435232231.

132232534245 is a `hidden beast` number, since 1 + 3 + 223 + 2 + 5 + 3 + 424 + 5 = 666.

It is not a de Polignac number, because 132232534245 - 29 = 132232533733 is a prime.

It is a super-3 number, since 3×1322325342453 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21628309 + ... + 21634421.

It is an arithmetic number, because the mean of its divisors is an integer number (2794269192).

Almost surely, 2132232534245 is an apocalyptic number.

132232534245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132232534245 is an abundant number, since it is smaller than the sum of its proper divisors (136017308187).

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

132232534245 is a wasteful number, since it uses less digits than its factorization.

132232534245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7771 (or 7768 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 132232534245 its reverse (542435232231), we get a palindrome (674667766476).

The spelling of 132232534245 in words is "one hundred thirty-two billion, two hundred thirty-two million, five hundred thirty-four thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 903 1505 1597 1935 2709 4515 4791 6113 7985 11179 13545 14373 18339 23955 30565 33537 42791 55017 55895 68671 71865 91695 100611 128373 167685 206013 213955 262859 275085 343355 385119 480697 503055 618039 641865 788577 1030065 1314295 1442091 1840013 1925595 2365731 2403485 3090195 3942885 4326273 5520039 7210455 9200065 9762461 11828655 16560117 21631365 27600195 29287383 48812305 68337227 82800585 87862149 146436915 205011681 341686135 419785823 439310745 615035043 1025058405 1259357469 2098929115 2938500761 3075175215 3778072407 6296787345 8815502283 14692503805 18890362035 26446506849 44077511415 132232534245