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85864319625 = 353783394099
BaseRepresentation
bin100111111110111101…
…0011000101010001001
322012122000212101012010
41033331322120222021
52401322231212000
6103240122210133
76126540450240
oct1177572305211
9265560771163
1085864319625
1133462196227
1214783953949
138135076726
144227949957
152378254d50
hex13fde98a89

85864319625 has 64 divisors (see below), whose sum is σ = 165257164800. Its totient is φ = 38779243200.

The previous prime is 85864319543. The next prime is 85864319687. The reversal of 85864319625 is 52691346858.

It is not a de Polignac number, because 85864319625 - 210 = 85864318601 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20826 + ... + 414924.

It is an arithmetic number, because the mean of its divisors is an integer number (2582143200).

Almost surely, 285864319625 is an apocalyptic number.

It is an amenable number.

85864319625 is a deficient number, since it is larger than the sum of its proper divisors (79392845175).

85864319625 is a wasteful number, since it uses less digits than its factorization.

85864319625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394207 (or 394197 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 57.

The spelling of 85864319625 in words is "eighty-five billion, eight hundred sixty-four million, three hundred nineteen thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 83 105 125 175 249 375 415 525 581 875 1245 1743 2075 2625 2905 6225 8715 10375 14525 31125 43575 72625 217875 394099 1182297 1970495 2758693 5911485 8276079 9852475 13793465 29557425 32710217 41380395 49262375 68967325 98130651 147787125 163551085 206901975 228971519 344836625 490653255 686914557 817755425 1034509875 1144857595 2453266275 3434572785 4088777125 5724287975 12266331375 17172863925 28621439875 85864319625