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12068657472 = 263671934861
BaseRepresentation
bin10110011110101100…
…10001100101000000
31011011002022022200210
423033112101211000
5144204034014342
65313321114120
7605033616204
oct131726214500
934132268623
1012068657472
115133495a93
122409928940
1311a4453251
14826bb0b04
154a97d379c
hex2cf591940

12068657472 has 112 divisors (see below), whose sum is σ = 32582868032. Its totient is φ = 3941498880.

The previous prime is 12068657467. The next prime is 12068657501. The reversal of 12068657472 is 27475686021.

It is a super-2 number, since 2×120686574722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 2480322 + ... + 2485182.

Almost surely, 212068657472 is an apocalyptic number.

12068657472 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 12068657472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291434016).

12068657472 is an abundant number, since it is smaller than the sum of its proper divisors (20514210560).

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

12068657472 is a wasteful number, since it uses less digits than its factorization.

12068657472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 12068657472 in words is "twelve billion, sixty-eight million, six hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 193 201 268 386 402 536 579 772 804 1072 1158 1544 1608 2144 2316 3088 3216 4288 4632 4861 6176 6432 9264 9722 12352 12864 12931 14583 18528 19444 25862 29166 37056 38793 38888 51724 58332 77586 77776 103448 116664 155172 155552 206896 233328 310344 311104 325687 413792 466656 620688 651374 827584 933312 938173 977061 1241376 1302748 1876346 1954122 2482752 2605496 2814519 3752692 3908244 5210992 5629038 7505384 7816488 10421984 11258076 15010768 15632976 20843968 22516152 30021536 31265952 45032304 60043072 62531904 62857591 90064608 125715182 180129216 188572773 251430364 377145546 502860728 754291092 1005721456 1508582184 2011442912 3017164368 4022885824 6034328736 12068657472