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132823014705 = 345327958061
BaseRepresentation
bin111101110110011011…
…1100101110100110001
3110200211122221020210000
41323230313211310301
54134010142432310
6141003522100213
712411322665633
oct1735467456461
9420748836700
10132823014705
115136a146937
12218aa1aa669
13c6a99cc434
1466003a0a53
1536c5ae74c0
hex1eecde5d31

132823014705 has 20 divisors (see below), whose sum is σ = 238097553012. Its totient is φ = 70838940960.

The previous prime is 132823014703. The next prime is 132823014761. The reversal of 132823014705 is 507410328231.

132823014705 is a `hidden beast` number, since 1 + 3 + 282 + 301 + 4 + 70 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18770918049 + 114052096656 = 137007^2 + 337716^2 .

It is not a de Polignac number, because 132823014705 - 21 = 132823014703 is a prime.

It is a super-5 number, since 5×1328230147055 (a number of 57 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132823014705.

It is not an unprimeable number, because it can be changed into a prime (132823014703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 163978626 + ... + 163979435.

Almost surely, 2132823014705 is an apocalyptic number.

132823014705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132823014705 is a deficient number, since it is larger than the sum of its proper divisors (105274538307).

132823014705 is an equidigital number, since it uses as much as digits as its factorization.

132823014705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327958078 (or 327958069 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 132823014705 in words is "one hundred thirty-two billion, eight hundred twenty-three million, fourteen thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 327958061 983874183 1639790305 2951622549 4919370915 8854867647 14758112745 26564602941 44274338235 132823014705