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83434441017 = 31071511721327
BaseRepresentation
bin100110110110100010…
…1001000100100111001
321222100200121202101010
41031231011020210321
52331333204103032
6102155041344133
76012404022114
oct1155505104471
9258320552333
1083434441017
1132425626494
1214206038049
137b38829135
144076d4d57b
152284c7accc
hex136d148939

83434441017 has 16 divisors (see below), whose sum is σ = 113029281792. Its totient is φ = 54738166800.

The previous prime is 83434441009. The next prime is 83434441019. The reversal of 83434441017 is 71014443438.

It is not a de Polignac number, because 83434441017 - 23 = 83434441009 is a prime.

It is a super-2 number, since 2×834344410172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83434441019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812193 + ... + 909134.

It is an arithmetic number, because the mean of its divisors is an integer number (7064330112).

Almost surely, 283434441017 is an apocalyptic number.

It is an amenable number.

83434441017 is a deficient number, since it is larger than the sum of its proper divisors (29594840775).

83434441017 is a wasteful number, since it uses less digits than its factorization.

83434441017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721588.

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 83434441017 in words is "eighty-three billion, four hundred thirty-four million, four hundred forty-one thousand, seventeen".

Divisors: 1 3 107 151 321 453 16157 48471 1721327 5163981 184181989 259920377 552545967 779761131 27811480339 83434441017