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993434322041 = 71091302010907
BaseRepresentation
bin11100111010011010100…
…11001100010001111001
310111222020010221102112022
432131031103030101321
5112234023141301131
62040213305124225
7131526141260540
oct16351523142171
93458203842468
10993434322041
11353349859967
1214064b189675
13728acc604b5
1436122467157
151ac9514037b
hexe74d4cc479

993434322041 has 8 divisors (see below), whose sum is σ = 1145769599040. Its totient is φ = 843703067088.

The previous prime is 993434321911. The next prime is 993434322103. The reversal of 993434322041 is 140223434399.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 993434322041 - 238 = 718556415097 is a prime.

It is a super-2 number, since 2×9934343220412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 993434321983 and 993434322001.

It is not an unprimeable number, because it can be changed into a prime (993434922041) 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, 651004691 + ... + 651006216.

It is an arithmetic number, because the mean of its divisors is an integer number (143221199880).

Almost surely, 2993434322041 is an apocalyptic number.

It is an amenable number.

993434322041 is a deficient number, since it is larger than the sum of its proper divisors (152335276999).

993434322041 is a wasteful number, since it uses less digits than its factorization.

993434322041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302011023.

The product of its (nonzero) digits is 559872, while the sum is 44.

The spelling of 993434322041 in words is "nine hundred ninety-three billion, four hundred thirty-four million, three hundred twenty-two thousand, forty-one".

Divisors: 1 7 109 763 1302010907 9114076349 141919188863 993434322041