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85006318671 = 3319327895849
BaseRepresentation
bin100111100101011000…
…1010111110001001111
322010102020101102011000
41033022301113301033
52343043104144141
6103015032231343
76066351533601
oct1171261276117
9263366342130
1085006318671
113306193a42a
121458453b553
138029396761
144185a03171
152327c725b6
hex13cac57c4f

85006318671 has 32 divisors (see below), whose sum is σ = 126654840000. Its totient is φ = 56347398144.

The previous prime is 85006318609. The next prime is 85006318673. The reversal of 85006318671 is 17681360058.

85006318671 is a `hidden beast` number, since 8 + 5 + 0 + 0 + 631 + 8 + 6 + 7 + 1 = 666.

It is not a de Polignac number, because 85006318671 - 210 = 85006317647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85006318673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14530555 + ... + 14536403.

It is an arithmetic number, because the mean of its divisors is an integer number (3957963750).

Almost surely, 285006318671 is an apocalyptic number.

85006318671 is a deficient number, since it is larger than the sum of its proper divisors (41648521329).

85006318671 is a wasteful number, since it uses less digits than its factorization.

85006318671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8840 (or 8834 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 85006318671 in words is "eighty-five billion, six million, three hundred eighteen thousand, six hundred seventy-one".

Divisors: 1 3 9 27 193 579 1737 2789 5211 5849 8367 17547 25101 52641 75303 157923 538277 1128857 1614831 3386571 4844493 10159713 14533479 16312861 30479139 48938583 146815749 440447247 3148382173 9445146519 28335439557 85006318671