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85310535772 = 227113715834729
BaseRepresentation
bin100111101110011100…
…1110111100001011100
322011012102211020120001
41033130321313201130
52344203444121042
6103105140504044
76110034406120
oct1173471674134
9264172736501
1085310535772
11331a8634220
121464a3ab024
13807740cb87
1441b4193580
152344815bb7
hex13dce7785c

85310535772 has 96 divisors (see below), whose sum is σ = 191323883520. Its totient is φ = 32312286720.

The previous prime is 85310535769. The next prime is 85310535773. The reversal of 85310535772 is 27753501358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85310535773) 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, 18037504 + ... + 18042232.

It is an arithmetic number, because the mean of its divisors is an integer number (1992957120).

Almost surely, 285310535772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85310535772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95661941760).

85310535772 is an abundant number, since it is smaller than the sum of its proper divisors (106013347748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85310535772 is a wasteful number, since it uses less digits than its factorization.

85310535772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6371 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 46.

The spelling of 85310535772 in words is "eighty-five billion, three hundred ten million, five hundred thirty-five thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 407 518 814 1036 1583 1628 2849 3166 4729 5698 6332 9458 11081 11396 17413 18916 22162 33103 34826 44324 52019 58571 66206 69652 104038 117142 121891 132412 174973 208076 234284 243782 349946 364133 409997 487564 644281 699892 728266 819994 1224811 1288562 1456532 1639988 1924703 2449622 2577124 3849406 4509967 4899244 7486007 7698812 9019934 13472921 14972014 18039868 26945842 29944028 52402049 53891684 82346077 104804098 164692154 209608196 276982259 329384308 553964518 576422539 1107929036 1152845078 1938875813 2305690156 3046804849 3877751626 6093609698 7755503252 12187219396 21327633943 42655267886 85310535772