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132585067280 = 2452621632321
BaseRepresentation
bin111101101111010101…
…1111001001100010000
3110200020002012021021102
41323132223321030100
54133013234123110
6140524142043532
712402403322441
oct1733653711420
9420202167242
10132585067280
11512578a5476
12218425795a8
13c66c619943
1465ba9412c8
1536aec945a5
hex1edeaf9310

132585067280 has 40 divisors (see below), whose sum is σ = 308378380824. Its totient is φ = 53013708800.

The previous prime is 132585067261. The next prime is 132585067283. The reversal of 132585067280 is 82760585231.

It can be written as a sum of positive squares in 4 ways, for example, as 12359213584 + 120225853696 = 111172^2 + 346736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (132585067283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106481 + ... + 525840.

Almost surely, 2132585067280 is an apocalyptic number.

132585067280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132585067280 is an abundant number, since it is smaller than the sum of its proper divisors (175793313544).

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

132585067280 is a wasteful number, since it uses less digits than its factorization.

132585067280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634955 (or 634949 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 132585067280 in words is "one hundred thirty-two billion, five hundred eighty-five million, sixty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2621 5242 10484 13105 20968 26210 41936 52420 104840 209680 632321 1264642 2529284 3161605 5058568 6323210 10117136 12646420 25292840 50585680 1657313341 3314626682 6629253364 8286566705 13258506728 16573133410 26517013456 33146266820 66292533640 132585067280