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85538411140 = 22572136714161
BaseRepresentation
bin100111110101001111…
…1001001001010000100
322011210022121111210111
41033222133021022010
52400140313124030
6103143521002404
76115502332600
oct1175237111204
9264708544714
1085538411140
1133305226376
12146b2783404
1380b26a7080
1441d6550500
15235982962a
hex13ea7c9284

85538411140 has 72 divisors (see below), whose sum is σ = 225031853592. Its totient is φ = 27071493120.

The previous prime is 85538411129. The next prime is 85538411171. The reversal of 85538411140 is 4111483558.

It can be written as a sum of positive squares in 4 ways, for example, as 120165444 + 85418245696 = 10962^2 + 292264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85538411093 and 85538411102.

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, 3344341 + ... + 3369820.

It is an arithmetic number, because the mean of its divisors is an integer number (3125442411).

Almost surely, 285538411140 is an apocalyptic number.

It is an amenable number.

85538411140 is an abundant number, since it is smaller than the sum of its proper divisors (139493442452).

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

85538411140 is a wasteful number, since it uses less digits than its factorization.

85538411140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714197 (or 6714188 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

Adding to 85538411140 its reverse (4111483558), we get a palindrome (89649894698).

The spelling of 85538411140 in words is "eighty-five billion, five hundred thirty-eight million, four hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 6714161 13428322 26856644 33570805 46999127 67141610 87284093 93998254 134283220 174568186 187996508 234995635 328993889 349136372 436420465 469991270 610988651 657987778 872840930 939982540 1221977302 1315975556 1644969445 1745681860 2443954604 3054943255 3289938890 4276920557 6109886510 6579877780 8553841114 12219773020 17107682228 21384602785 42769205570 85538411140