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86215650820 = 22513237336833
BaseRepresentation
bin101000001001011011…
…0100110111000000100
322020112111221211222121
41100102312212320010
52403032201311240
6103335032335324
76141334640365
oct1202266467004
9266474854877
1086215650820
113362253a592
1214861544544
13818caa7800
14425c481b6c
15239900304a
hex1412da6e04

86215650820 has 72 divisors (see below), whose sum is σ = 196132547016. Its totient is φ = 31820285952.

The previous prime is 86215650779. The next prime is 86215650863. The reversal of 86215650820 is 2805651268.

It can be written as a sum of positive squares in 12 ways, for example, as 64271376324 + 21944274496 = 253518^2 + 148136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12614124 + ... + 12620956.

It is an arithmetic number, because the mean of its divisors is an integer number (2724063153).

Almost surely, 286215650820 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 86215650820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98066273508).

86215650820 is an abundant number, since it is smaller than the sum of its proper divisors (109916896196).

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

86215650820 is a wasteful number, since it uses less digits than its factorization.

86215650820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10601 (or 10586 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 86215650820 in words is "eighty-six billion, two hundred fifteen million, six hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 3733 6833 7466 13666 14932 18665 27332 34165 37330 48529 68330 74660 88829 97058 136660 177658 194116 242645 355316 444145 485290 630877 888290 970580 1154777 1261754 1776580 2309554 2523508 3154385 4619108 5773885 6308770 11547770 12617540 23095540 25507589 51015178 102030356 127537945 255075890 331598657 510151780 663197314 1326394628 1657993285 3315986570 4310782541 6631973140 8621565082 17243130164 21553912705 43107825410 86215650820