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93803099040001 = 13293723328861453
BaseRepresentation
bin10101010101000000111100…
…011001011010100100000001
3110022010111012020212211120101
4111111000330121122210001
544243332221323240001
6531300314312442401
725521023145113101
oct2525007431324401
9408114166784511
1093803099040001
1127985741a6a20a
12a62b8040a9401
134045795847080
141924146769201
15aca0794bba01
hex55503c65a901

93803099040001 has 32 divisors (see below), whose sum is σ = 107787140566560. Its totient is φ = 80993084626944.

The previous prime is 93803099039977. The next prime is 93803099040011. The reversal of 93803099040001 is 10004099030839.

It is a Cunningham number, because it is equal to 96852002+1.

It can be written as a sum of positive squares in 16 ways, for example, as 12028244766976 + 81774854273025 = 3468176^2 + 9042945^2 .

It is not a de Polignac number, because 93803099040001 - 219 = 93803098515713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93803099040011) 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 31 ways as a sum of consecutive naturals, for example, 11180610 + ... + 17680843.

It is an arithmetic number, because the mean of its divisors is an integer number (3368348142705).

Almost surely, 293803099040001 is an apocalyptic number.

It is an amenable number.

93803099040001 is a deficient number, since it is larger than the sum of its proper divisors (13984041526559).

93803099040001 is a wasteful number, since it uses less digits than its factorization.

93803099040001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28861765.

The product of its (nonzero) digits is 209952, while the sum is 46.

The spelling of 93803099040001 in words is "ninety-three trillion, eight hundred three billion, ninety-nine million, forty thousand, one".

Divisors: 1 13 29 37 233 377 481 1073 3029 6757 8621 13949 87841 112073 250009 3250117 28861453 375198889 836982137 1067873761 6724718549 10880767781 13882358893 30968339069 87421341137 195016837921 248814586313 402588407897 2535218892973 3234589622069 7215623003077 93803099040001