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12381722540 = 22511178339887
BaseRepresentation
bin10111000100000001…
…00001011110101100
31011221220101200020022
423202000201132230
5200324210110130
65404343141312
7615554622305
oct134200413654
934856350208
1012381722540
115284183450
122496744838
131224276a55
148565c57ac
154c70237e5
hex2e20217ac

12381722540 has 96 divisors (see below), whose sum is σ = 30396570624. Its totient is φ = 4186434560.

The previous prime is 12381722539. The next prime is 12381722611. The reversal of 12381722540 is 4522718321.

It is a self number, because there is not a number n which added to its sum of digits gives 12381722540.

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, 290477 + ... + 330363.

It is an arithmetic number, because the mean of its divisors is an integer number (316630944).

Almost surely, 212381722540 is an apocalyptic number.

12381722540 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 12381722540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15198285312).

12381722540 is an abundant number, since it is smaller than the sum of its proper divisors (18014848084).

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

12381722540 is a wasteful number, since it uses less digits than its factorization.

12381722540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40007 (or 40005 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 12381722540 in words is "twelve billion, three hundred eighty-one million, seven hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 83 85 110 166 170 187 220 332 340 374 415 748 830 913 935 1411 1660 1826 1870 2822 3652 3740 4565 5644 7055 9130 14110 15521 18260 28220 31042 39887 62084 77605 79774 155210 159548 199435 310420 398870 438757 678079 797740 877514 1356158 1755028 2193785 2712316 3310621 3390395 4387570 6621242 6780790 7458869 8775140 13242484 13561580 14917738 16553105 29835476 33106210 36416831 37294345 56280557 66212420 72833662 74588690 112561114 145667324 149177380 182084155 225122228 281402785 364168310 562805570 619086127 728336620 1125611140 1238172254 2476344508 3095430635 6190861270 12381722540