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86171238040 = 23543191326189
BaseRepresentation
bin101000001000000110…
…1001011111010011000
322020102102101110002211
41100100031023322120
52402434314104130
6103330404404504
76140255303146
oct1202015137230
9266372343084
1086171238040
11335aa465608
121484a6a6734
138183827564
144256600596
15239517da2a
hex141034be98

86171238040 has 64 divisors (see below), whose sum is σ = 198505533600. Its totient is φ = 33648018432.

The previous prime is 86171238037. The next prime is 86171238071. The reversal of 86171238040 is 4083217168.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 86171237984 and 86171238002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3277266 + ... + 3303454.

Almost surely, 286171238040 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 86171238040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99252766800).

86171238040 is an abundant number, since it is smaller than the sum of its proper divisors (112334295560).

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

86171238040 is a wasteful number, since it uses less digits than its factorization.

86171238040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28156 (or 28152 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 86171238040 in words is "eighty-six billion, one hundred seventy-one million, two hundred thirty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 1913 3826 7652 9565 15304 19130 26189 38260 52378 76520 82259 104756 130945 164518 209512 261890 329036 411295 523780 658072 822590 1047560 1126127 1645180 2252254 3290360 4504508 5630635 9009016 11261270 22522540 45045080 50099557 100199114 200398228 250497785 400796456 500995570 1001991140 2003982280 2154280951 4308561902 8617123804 10771404755 17234247608 21542809510 43085619020 86171238040