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18069382296 = 23327213139097
BaseRepresentation
bin10000110101000001…
…001110010010011000
31201122021201201122100
4100311001032102120
5244001230213141
612145001323400
71206530133600
oct206501162230
951567651570
1018069382296
1177327713a9
123603496560
13191c713bb4
14c35b2bc00
1570b5110b6
hex43504e498

18069382296 has 144 divisors (see below), whose sum is σ = 57363803640. Its totient is φ = 5123139840.

The previous prime is 18069382267. The next prime is 18069382319. The reversal of 18069382296 is 69228396081.

18069382296 is a `hidden beast` number, since 180 + 69 + 382 + 29 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 442620 + ... + 481716.

Almost surely, 218069382296 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 18069382296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28681901820).

18069382296 is an abundant number, since it is smaller than the sum of its proper divisors (39294421344).

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

18069382296 is a wasteful number, since it uses less digits than its factorization.

18069382296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39254 (or 39240 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 18069382296 in words is "eighteen billion, sixty-nine million, three hundred eighty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 131 147 168 196 252 262 294 392 393 441 504 524 588 786 882 917 1048 1176 1179 1572 1764 1834 2358 2751 3144 3528 3668 4716 5502 6419 7336 8253 9432 11004 12838 16506 19257 22008 25676 33012 38514 39097 51352 57771 66024 77028 78194 115542 117291 154056 156388 231084 234582 273679 312776 351873 462168 469164 547358 703746 821037 938328 1094716 1407492 1642074 1915753 2189432 2463111 2814984 3284148 3831506 4926222 5121707 5747259 6568296 7663012 9852444 10243414 11494518 15326024 15365121 17241777 19704888 20486828 22989036 30730242 34483554 35851949 40973656 45978072 46095363 61460484 68967108 71703898 92190726 107555847 122920968 137934216 143407796 184381452 215111694 250963643 286815592 322667541 368762904 430223388 501927286 645335082 752890929 860446776 1003854572 1290670164 1505781858 2007709144 2258672787 2581340328 3011563716 4517345574 6023127432 9034691148 18069382296