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131665552272 = 2433304781371
BaseRepresentation
bin111101010011111100…
…0001110001110010000
3110120211222222001211000
41322213320032032100
54124122340133042
6140253013422000
712340536504612
oct1724770161620
9416758861730
10131665552272
1150925854211
122162663a900
13c553c7c817
146530784db2
1536591b074c
hex1ea7e0e390

131665552272 has 40 divisors (see below), whose sum is σ = 377928901280. Its totient is φ = 43888517280.

The previous prime is 131665552201. The next prime is 131665552301. The reversal of 131665552272 is 272255566131.

It is a happy number.

131665552272 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 6 + 55 + 522 + 72 = 666.

131665552272 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152390254 + ... + 152391117.

It is an arithmetic number, because the mean of its divisors is an integer number (9448222532).

Almost surely, 2131665552272 is an apocalyptic number.

131665552272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131665552272 is an abundant number, since it is smaller than the sum of its proper divisors (246263349008).

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

131665552272 is a wasteful number, since it uses less digits than its factorization.

131665552272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304781388 (or 304781376 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 131665552272 in words is "one hundred thirty-one billion, six hundred sixty-five million, five hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 304781371 609562742 914344113 1219125484 1828688226 2438250968 2743032339 3657376452 4876501936 5486064678 7314752904 8229097017 10972129356 14629505808 16458194034 21944258712 32916388068 43888517424 65832776136 131665552272