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132749979957 = 32723190148193
BaseRepresentation
bin111101110100010000…
…0111111000100110101
3110200122120111200221100
41323220200333010311
54133332443324312
6140552352440313
712406445132430
oct1735040770465
9420576450840
10132749979957
11513319a2841
1221889849099
13c69783a4ca
1465d47cc817
1536be4bc5dc
hex1ee883f135

132749979957 has 48 divisors (see below), whose sum is σ = 228795810048. Its totient is φ = 72519321600.

The previous prime is 132749979863. The next prime is 132749979997. The reversal of 132749979957 is 759979947231.

132749979957 is a `hidden beast` number, since 13 + 2 + 7 + 499 + 79 + 9 + 57 = 666.

It is not a de Polignac number, because 132749979957 - 214 = 132749963573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132749979997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2730453 + ... + 2778645.

It is an arithmetic number, because the mean of its divisors is an integer number (4766579376).

Almost surely, 2132749979957 is an apocalyptic number.

It is an amenable number.

132749979957 is a deficient number, since it is larger than the sum of its proper divisors (96045830091).

132749979957 is a wasteful number, since it uses less digits than its factorization.

132749979957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50130 (or 50127 counting only the distinct ones).

The product of its digits is 270050760, while the sum is 72.

The spelling of 132749979957 in words is "one hundred thirty-two billion, seven hundred forty-nine million, nine hundred seventy-nine thousand, nine hundred fifty-seven".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 1901 5703 13307 17109 39921 43723 48193 119763 131169 144579 306061 337351 393507 433737 918183 1012053 1108439 2754549 3036159 3325317 7759073 9975951 23277219 69831657 91614893 274844679 641304251 824534037 1923912753 2107142539 5771738259 6321427617 14749997773 18964282851 44249993319 132749979957