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18064058770872 = 2333474493962939
BaseRepresentation
bin1000001101101110111011…
…10011100110010110111000
32100221220111022111101101000
410012313131303212112320
54331430143021131442
6102230303010525000
73543041134052502
oct406673563462670
970856438441330
1018064058770872
115834a19279a04
122038b28896760
13a1058333791a
1446643b312d72
15214d4aaded4c
hex106dddce65b8

18064058770872 has 128 divisors (see below), whose sum is σ = 51359702400000. Its totient is φ = 5880112293888.

The previous prime is 18064058770867. The next prime is 18064058770889. The reversal of 18064058770872 is 27807785046081.

18064058770872 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 40 + 587 + 7 + 0 + 8 + 7 + 2 = 666.

It is a super-3 number, since 3×180640587708723 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2576779 + ... + 6539717.

It is an arithmetic number, because the mean of its divisors is an integer number (401247675000).

Almost surely, 218064058770872 is an apocalyptic number.

18064058770872 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 18064058770872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25679851200000).

18064058770872 is an abundant number, since it is smaller than the sum of its proper divisors (33295643629128).

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

18064058770872 is a wasteful number, since it uses less digits than its factorization.

18064058770872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963450 (or 3963440 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 18064058770872 in words is "eighteen trillion, sixty-four billion, fifty-eight million, seven hundred seventy thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 449 564 846 898 1128 1269 1347 1692 1796 2538 2694 3384 3592 4041 5076 5388 8082 10152 10776 12123 16164 21103 24246 32328 42206 48492 63309 84412 96984 126618 168824 189927 253236 379854 506472 569781 759708 1139562 1519416 2279124 3962939 4558248 7925878 11888817 15851756 23777634 31703512 35666451 47555268 71332902 95110536 106999353 142665804 186258133 213998706 285331608 372516266 427997412 558774399 745032532 855994824 1117548798 1490065064 1676323197 1779359611 2235097596 3352646394 3558719222 4470195192 5028969591 5338078833 6705292788 7117438444 10057939182 10676157666 13410585576 14234876888 16014236499 20115878364 21352315332 32028472998 40231756728 42704630664 48042709497 64056945996 83629901717 96085418994 128113891992 167259803434 192170837988 250889705151 334519606868 384341675976 501779410302 669039213736 752669115453 1003558820604 1505338230906 2007117641208 2258007346359 3010676461812 4516014692718 6021352923624 9032029385436 18064058770872