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12063910144 = 2811131572099
BaseRepresentation
bin10110011110001000…
…01010100100000000
31011010202101010120211
423033010022210000
5144201330111034
65313031243504
7604645354456
oct131704124400
934122333524
1012063910144
115130843280
122408219594
1311a3480490
148262d69d6
154a9196d64
hex2cf10a900

12063910144 has 144 divisors (see below), whose sum is σ = 28484366400. Its totient is φ = 5027143680.

The previous prime is 12063910099. The next prime is 12063910181. The reversal of 12063910144 is 44101936021.

It is a super-2 number, since 2×120639101442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5746407 + ... + 5748505.

It is an arithmetic number, because the mean of its divisors is an integer number (197808100).

Almost surely, 212063910144 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 12063910144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14242183200).

12063910144 is an abundant number, since it is smaller than the sum of its proper divisors (16420456256).

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

12063910144 is a wasteful number, since it uses less digits than its factorization.

12063910144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 12063910144 in words is "twelve billion, sixty-three million, nine hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 157 176 208 256 286 314 352 416 572 628 704 832 1144 1256 1408 1664 1727 2041 2099 2288 2512 2816 3328 3454 4082 4198 4576 5024 6908 8164 8396 9152 10048 13816 16328 16792 18304 20096 22451 23089 27287 27632 32656 33584 36608 40192 44902 46178 54574 55264 65312 67168 89804 92356 109148 110528 130624 134336 179608 184712 218296 221056 261248 268672 300157 329543 359216 369424 436592 442112 522496 537344 600314 659086 718432 738848 873184 1200628 1318172 1436864 1477696 1746368 2401256 2636344 2873728 2955392 3492736 3624973 4284059 4802512 5272688 5747456 5910784 6985472 7249946 8568118 9605024 10545376 14499892 17136236 19210048 21090752 28999784 34272472 38420096 42181504 47124649 57999568 68544944 76840192 84363008 94249298 115999136 137089888 188498596 231998272 274179776 376997192 463996544 548359552 753994384 927993088 1096719104 1507988768 3015977536 6031955072 12063910144