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12405543540 = 22351383191621
BaseRepresentation
bin10111000110110110…
…11001001001110100
31012000120012220111120
423203123121021310
5200401304343130
65410553503540
7616264244265
oct134333311164
935016186446
1012405543540
115296673525
1224a2711bb0
131229197410
1485982696c
154c917b910
hex2e36d9274

12405543540 has 96 divisors (see below), whose sum is σ = 37858375296. Its totient is φ = 3016865280.

The previous prime is 12405543539. The next prime is 12405543551. The reversal of 12405543540 is 4534550421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31071 + ... + 160550.

It is an arithmetic number, because the mean of its divisors is an integer number (394358076).

Almost surely, 212405543540 is an apocalyptic number.

12405543540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12405543540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18929187648).

12405543540 is an abundant number, since it is smaller than the sum of its proper divisors (25452831756).

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

12405543540 is a wasteful number, since it uses less digits than its factorization.

12405543540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191729 (or 191727 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 12405543540 in words is "twelve billion, four hundred five million, five hundred forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 83 130 156 166 195 249 260 332 390 415 498 780 830 996 1079 1245 1660 2158 2490 3237 4316 4980 5395 6474 10790 12948 16185 21580 32370 64740 191621 383242 574863 766484 958105 1149726 1916210 2299452 2491073 2874315 3832420 4982146 5748630 7473219 9964292 11497260 12455365 14946438 15904543 24910730 29892876 31809086 37366095 47713629 49821460 63618172 74732190 79522715 95427258 149464380 159045430 190854516 206759059 238568145 318090860 413518118 477136290 620277177 827036236 954272580 1033795295 1240554354 2067590590 2481108708 3101385885 4135181180 6202771770 12405543540