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12128083254 = 2327172714691
BaseRepresentation
bin10110100101110001…
…11101110100110110
31011022020010110112200
423102320331310312
5144314242131004
65323242525330
7606355002210
oct132270756466
934266113480
1012128083254
115163a94501
122425806846
1311b385ba31
14830a3d5b0
154aeb21239
hex2d2e3dd36

12128083254 has 144 divisors (see below), whose sum is σ = 32358134016. Its totient is φ = 3214713600.

The previous prime is 12128083223. The next prime is 12128083259. The reversal of 12128083254 is 45238082121.

It is a happy number.

12128083254 is a `hidden beast` number, since 121 + 280 + 8 + 3 + 254 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12128083259) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2583049 + ... + 2587739.

It is an arithmetic number, because the mean of its divisors is an integer number (224709264).

Almost surely, 212128083254 is an apocalyptic number.

12128083254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12128083254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16179067008).

12128083254 is an abundant number, since it is smaller than the sum of its proper divisors (20230050762).

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

12128083254 is a wasteful number, since it uses less digits than its factorization.

12128083254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12128083254 in words is "twelve billion, one hundred twenty-eight million, eighty-three thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 71 102 119 126 142 153 213 238 289 306 357 426 497 578 639 714 867 994 1071 1207 1278 1491 1734 2023 2142 2414 2601 2982 3621 4046 4473 4691 5202 6069 7242 8449 8946 9382 10863 12138 14073 16898 18207 20519 21726 25347 28146 32837 36414 41038 42219 50694 61557 65674 76041 79747 84438 98511 123114 143633 152082 159494 184671 197022 239241 287266 295533 333061 369342 430899 478482 558229 591066 666122 717723 861798 999183 1116458 1292697 1355699 1435446 1674687 1998366 2331427 2585394 2711398 2997549 3349374 4067097 4662854 5024061 5662037 5995098 6994281 8134194 9489893 10048122 11324074 12201291 13988562 16986111 18979786 20982843 24402582 28469679 33972222 39634259 41965686 50958333 56939358 79268518 85409037 96254629 101916666 118902777 170818074 192509258 237805554 288763887 356708331 577527774 673782403 713416662 866291661 1347564806 1732583322 2021347209 4042694418 6064041627 12128083254