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20418621836382 = 23271119775371073
BaseRepresentation
bin1001010010010000101001…
…01100111000110001011110
32200022000000212022011211100
410221020110230320301132
510134014314142231012
6111232104012533530
74205124324642030
oct451102454706136
980260025264740
1020418621836382
116562541794760
1223593231812a6
13b51610925473
145083a3679c50
1525620651a8dc
hex129214b38c5e

20418621836382 has 96 divisors (see below), whose sum is σ = 58059786021120. Its totient is φ = 5024404546560.

The previous prime is 20418621836309. The next prime is 20418621836429. The reversal of 20418621836382 is 28363812681402.

20418621836382 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 8 + 621 + 8 + 3 + 6 + 3 + 8 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387659203 + ... + 387711870.

It is an arithmetic number, because the mean of its divisors is an integer number (604789437720).

Almost surely, 220418621836382 is an apocalyptic number.

20418621836382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20418621836382 is an abundant number, since it is smaller than the sum of its proper divisors (37641164184738).

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

20418621836382 is a wasteful number, since it uses less digits than its factorization.

20418621836382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775371118 (or 775371115 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 20418621836382 in words is "twenty trillion, four hundred eighteen billion, six hundred twenty-one million, eight hundred thirty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1881 2394 2926 3762 4389 8778 13167 26334 775371073 1550742146 2326113219 4652226438 5427597511 6978339657 8529081803 10855195022 13956679314 14732050387 16282792533 17058163606 25587245409 29464100774 32565585066 44196151161 48848377599 51174490818 59703572621 76761736227 88392302322 97696755198 103124352709 119407145242 132588453483 153523472454 162052554257 179110717863 206248705418 265176906966 309373058127 324105108514 358221435726 486157662771 537332153589 618746116254 928119174381 972315325542 1074664307178 1134367879799 1458472988313 1856238348762 2268735759598 2916945976626 3403103639397 6806207278794 10209310918191 20418621836382