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86221863140 = 22572761115613
BaseRepresentation
bin101000001001100111…
…0010011100011100100
322020112221122110200112
41100103032103203210
52403040244110030
6103335413432152
76141441513200
oct1202316234344
9266487573615
1086221863140
1133625aa2a36
121486363b658
13819117133a
14425d21bb00
15239982da95
hex14133938e4

86221863140 has 72 divisors (see below), whose sum is σ = 210906295992. Its totient is φ = 29522680320.

The previous prime is 86221863137. The next prime is 86221863163. The reversal of 86221863140 is 4136812268.

It can be written as a sum of positive squares in 4 ways, for example, as 4806371584 + 81415491556 = 69328^2 + 285334^2 .

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, 687974 + ... + 803586.

It is an arithmetic number, because the mean of its divisors is an integer number (2929254111).

Almost surely, 286221863140 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 86221863140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105453147996).

86221863140 is an abundant number, since it is smaller than the sum of its proper divisors (124684432852).

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

86221863140 is a wasteful number, since it uses less digits than its factorization.

86221863140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116397 (or 116388 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 86221863140 in words is "eighty-six billion, two hundred twenty-one million, eight hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 761 980 1522 3044 3805 5327 7610 10654 15220 21308 26635 37289 53270 74578 106540 115613 149156 186445 231226 372890 462452 578065 745780 809291 1156130 1618582 2312260 3237164 4046455 5665037 8092910 11330074 16185820 22660148 28325185 56650370 87981493 113300740 175962986 351925972 439907465 615870451 879814930 1231740902 1759629860 2463481804 3079352255 4311093157 6158704510 8622186314 12317409020 17244372628 21555465785 43110931570 86221863140