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12068445240 = 2332546172719
BaseRepresentation
bin10110011110101010…
…11101110000111000
31011011001220112120100
423033111131300320
5144204010221430
65313312355400
7605032043355
oct131725356070
934131815510
1012068445240
115133360595
122409845b60
1311a43aa777
14826b5762c
154a9790960
hex2cf55dc38

12068445240 has 96 divisors (see below), whose sum is σ = 39308068800. Its totient is φ = 3211226880.

The previous prime is 12068445203. The next prime is 12068445341. The reversal of 12068445240 is 4254486021.

12068445240 is a `hidden beast` number, since 1 + 206 + 8 + 445 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12068445195 and 12068445204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129601 + ... + 202319.

It is an arithmetic number, because the mean of its divisors is an integer number (409459050).

Almost surely, 212068445240 is an apocalyptic number.

12068445240 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 12068445240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19654034400).

12068445240 is an abundant number, since it is smaller than the sum of its proper divisors (27239623560).

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

12068445240 is a wasteful number, since it uses less digits than its factorization.

12068445240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73197 (or 73190 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 12068445240 in words is "twelve billion, sixty-eight million, four hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 461 922 1383 1844 2305 2766 3688 4149 4610 5532 6915 8298 9220 11064 13830 16596 18440 20745 27660 33192 41490 55320 72719 82980 145438 165960 218157 290876 363595 436314 581752 654471 727190 872628 1090785 1308942 1454380 1745256 2181570 2617884 2908760 3272355 4363140 5235768 6544710 8726280 13089420 26178840 33523459 67046918 100570377 134093836 167617295 201140754 268187672 301711131 335234590 402281508 502851885 603422262 670469180 804563016 1005703770 1206844524 1340938360 1508555655 2011407540 2413689048 3017111310 4022815080 6034222620 12068445240