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85041116829 = 32171723322591
BaseRepresentation
bin100111100110011011…
…0000111011010011101
322010111122212100020200
41033030312013122131
52343131011214304
6103022314134113
76100253365134
oct1171466073235
9263448770220
1085041116829
113307a547839
1214594121339
13803365b696
14418a4a091b
15232ad47e39
hex13ccd8769d

85041116829 has 24 divisors (see below), whose sum is σ = 130138774272. Its totient is φ = 53327998080.

The previous prime is 85041116801. The next prime is 85041116837. The reversal of 85041116829 is 92861114058.

It is a happy number.

85041116829 is a `hidden beast` number, since 8 + 50 + 411 + 168 + 29 = 666.

It is not a de Polignac number, because 85041116829 - 27 = 85041116701 is a prime.

It is a super-3 number, since 3×850411168293 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85041116029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102324 + ... + 424914.

It is an arithmetic number, because the mean of its divisors is an integer number (5422448928).

Almost surely, 285041116829 is an apocalyptic number.

It is an amenable number.

85041116829 is a deficient number, since it is larger than the sum of its proper divisors (45097657443).

85041116829 is a wasteful number, since it uses less digits than its factorization.

85041116829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324337 (or 324334 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 85041116829 in words is "eighty-five billion, forty-one million, one hundred sixteen thousand, eight hundred twenty-nine".

Divisors: 1 3 9 17 51 153 1723 5169 15507 29291 87873 263619 322591 967773 2903319 5484047 16452141 49356423 555824293 1667472879 5002418637 9449012981 28347038943 85041116829