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132661653625512 = 2332111531109406981
BaseRepresentation
bin11110001010011110110010…
…101111010101101010101000
3122101201022220201212212201200
4132022132302233111222220
5114342012031312004022
61150051531120244200
736641326306220064
oct3612366257255250
9571638821785650
10132661653625512
11392a7544a97a20
1212a66873470660
135903c2b99436b
1424a8c03238aa4
151050c79dd9bac
hex78a7b2bd5aa8

132661653625512 has 96 divisors (see below), whose sum is σ = 392210901632160. Its totient is φ = 40174243056000.

The previous prime is 132661653625451. The next prime is 132661653625549. The reversal of 132661653625512 is 215526356166231.

132661653625512 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 6 + 1 + 6 + 5 + 3 + 625 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×1326616536255122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53490939 + ... + 55916042.

It is an arithmetic number, because the mean of its divisors is an integer number (4085530225335).

Almost surely, 2132661653625512 is an apocalyptic number.

132661653625512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132661653625512 is an abundant number, since it is smaller than the sum of its proper divisors (259549248006648).

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

132661653625512 is a wasteful number, since it uses less digits than its factorization.

132661653625512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109408535 (or 109408528 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The spelling of 132661653625512 in words is "one hundred thirty-two trillion, six hundred sixty-one billion, six hundred fifty-three million, six hundred twenty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1531 3062 4593 6124 9186 12248 13779 16841 18372 27558 33682 36744 50523 55116 67364 101046 110232 134728 151569 202092 303138 404184 606276 1212552 109406981 218813962 328220943 437627924 656441886 875255848 984662829 1203476791 1312883772 1969325658 2406953582 2625767544 3610430373 3938651316 4813907164 7220860746 7877302632 9627814328 10831291119 14441721492 21662582238 28883442984 43325164476 86650328952 167502087911 335004175822 502506263733 670008351644 1005012527466 1340016703288 1507518791199 1842522967021 2010025054932 3015037582398 3685045934042 4020050109864 5527568901063 6030075164796 7370091868084 11055137802126 12060150329592 14740183736168 16582706703189 22110275604252 33165413406378 44220551208504 66330826812756 132661653625512