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86201217020 = 225312834431109
BaseRepresentation
bin101000001000111111…
…1100010111111111100
322020111111210112112102
41100101333202333330
52403020002421040
6103333355124232
76141101153342
oct1202177427774
9266444715472
1086201217020
1133615381226
1214858743678
138189ac2ab9
14425a5a5992
152397b01515
hex1411fe2ffc

86201217020 has 96 divisors (see below), whose sum is σ = 188115056640. Its totient is φ = 33145332480.

The previous prime is 86201217019. The next prime is 86201217029. The reversal of 86201217020 is 2071210268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86201217029) 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, 77728226 + ... + 77729334.

It is an arithmetic number, because the mean of its divisors is an integer number (1959531840).

Almost surely, 286201217020 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 86201217020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94057528320).

86201217020 is an abundant number, since it is smaller than the sum of its proper divisors (101913839620).

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

86201217020 is a wasteful number, since it uses less digits than its factorization.

86201217020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 86201217020 its reverse (2071210268), we get a palindrome (88272427288).

The spelling of 86201217020 in words is "eighty-six billion, two hundred one million, two hundred seventeen thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 283 310 443 566 620 886 1109 1132 1415 1772 2215 2218 2830 4430 4436 5545 5660 8773 8860 11090 13733 17546 22180 27466 34379 35092 43865 54932 68665 68758 87730 125369 137330 137516 171895 175460 250738 274660 313847 343790 491287 501476 626845 627694 687580 982574 1253690 1255388 1569235 1965148 2456435 2507380 3138470 3886439 4912870 6276940 7772878 9729257 9825740 15229897 15545756 19432195 19458514 30459794 38864390 38917028 48646285 60919588 76149485 77728780 97292570 139034221 152298970 194585140 278068442 304597940 556136884 695171105 1390342210 2780684420 4310060851 8620121702 17240243404 21550304255 43100608510 86201217020