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12113539152 = 24311134673779
BaseRepresentation
bin10110100100000010…
…11111000001010000
31011021012202112210020
423102001133001100
5144302031223102
65322003103440
7606120245451
oct132201370120
934235675706
1012113539152
115156860290
122420971b80
1311b0838a60
1482cb35128
154ad6ebbbc
hex2d205f050

12113539152 has 160 divisors (see below), whose sum is σ = 36852641280. Its totient is φ = 3380252160.

The previous prime is 12113539111. The next prime is 12113539171. The reversal of 12113539152 is 25193531121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3203599 + ... + 3207377.

It is an arithmetic number, because the mean of its divisors is an integer number (230329008).

Almost surely, 212113539152 is an apocalyptic number.

12113539152 is a gapful number since it is divisible by the number (12) 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 12113539152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18426320640).

12113539152 is an abundant number, since it is smaller than the sum of its proper divisors (24739102128).

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

12113539152 is a wasteful number, since it uses less digits than its factorization.

12113539152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4275 counting only the distinct ones).

The product of its digits is 8100, while the sum is 33.

The spelling of 12113539152 in words is "twelve billion, one hundred thirteen million, five hundred thirty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 467 528 572 624 858 934 1144 1401 1716 1868 2288 2802 3432 3736 3779 5137 5604 6071 6864 7472 7558 10274 11208 11337 12142 15116 15411 18213 20548 22416 22674 24284 30232 30822 36426 41096 41569 45348 48568 49127 60464 61644 66781 72852 82192 83138 90696 97136 98254 123288 124707 133562 145704 147381 166276 181392 196508 200343 246576 249414 267124 291408 294762 332552 393016 400686 498828 534248 540397 589524 665104 786032 801372 997656 1068496 1080794 1179048 1602744 1621191 1764793 1995312 2161588 2358096 3205488 3242382 3529586 4323176 5294379 6484764 7059172 8646352 10588758 12969528 14118344 19412723 21177516 22942309 25939056 28236688 38825446 42355032 45884618 58238169 68826927 77650892 84710064 91769236 116476338 137653854 155301784 183538472 232952676 252365399 275307708 310603568 367076944 465905352 504730798 550615416 757096197 931810704 1009461596 1101230832 1514192394 2018923192 3028384788 4037846384 6056769576 12113539152