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85864962567 = 3171683626717
BaseRepresentation
bin100111111110111110…
…0110101101000000111
322012122002002001010210
41033331330311220013
52401322412300232
6103240144050503
76126546065556
oct1177574655007
9265562061123
1085864962567
113346259528a
1214784003a33
138135240277
144227a75d9d
1523783305cc
hex13fdf35a07

85864962567 has 8 divisors (see below), whose sum is σ = 121221123696. Its totient is φ = 53876054912.

The previous prime is 85864962481. The next prime is 85864962643. The reversal of 85864962567 is 76526946858.

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

It is a cyclic number.

It is not a de Polignac number, because 85864962567 - 28 = 85864962311 is a prime.

It is a super-2 number, since 2×858649625672 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85864962498 and 85864962507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85864962367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841813308 + ... + 841813409.

It is an arithmetic number, because the mean of its divisors is an integer number (15152640462).

Almost surely, 285864962567 is an apocalyptic number.

85864962567 is a deficient number, since it is larger than the sum of its proper divisors (35356161129).

85864962567 is a wasteful number, since it uses less digits than its factorization.

85864962567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683626737.

The product of its digits is 174182400, while the sum is 66.

The spelling of 85864962567 in words is "eighty-five billion, eight hundred sixty-four million, nine hundred sixty-two thousand, five hundred sixty-seven".

Divisors: 1 3 17 51 1683626717 5050880151 28621654189 85864962567