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11976832091537 = 29238893661913
BaseRepresentation
bin1010111001001001001011…
…0100101000010110010001
31120101222022000120102002122
42232102102310220112101
53032212023003412122
641250025233224025
72344204031024615
oct256222264502621
946358260512078
1011976832091537
1138a8389531315
121415234a02015
1368b544901401
142d5978aa3345
1515b828ee5142
hexae492d28591

11976832091537 has 12 divisors (see below), whose sum is σ = 12407260395660. Its totient is φ = 11560861251072.

The previous prime is 11976832091503. The next prime is 11976832091591. The reversal of 11976832091537 is 73519023867911.

It is a Cunningham number, because it is equal to 34607562+1.

It can be written as a sum of positive squares in 6 ways, for example, as 28465088656 + 11948367002881 = 168716^2 + 3456641^2 .

It is not a de Polignac number, because 11976832091537 - 26 = 11976832091473 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11976832091537.

It is not an unprimeable number, because it can be changed into a prime (11976832091137) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1439693 + ... + 5101605.

It is an arithmetic number, because the mean of its divisors is an integer number (1033938366305).

Almost surely, 211976832091537 is an apocalyptic number.

It is an amenable number.

11976832091537 is a deficient number, since it is larger than the sum of its proper divisors (430428304123).

11976832091537 is an equidigital number, since it uses as much as digits as its factorization.

11976832091537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665860 (or 3665831 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 62.

The spelling of 11976832091537 in words is "eleven trillion, nine hundred seventy-six billion, eight hundred thirty-two million, ninety-one thousand, five hundred thirty-seven".

Divisors: 1 29 841 3889 112781 3270649 3661913 106195477 3079668833 14241179657 412994210053 11976832091537