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20419385640912 = 243525720435407
BaseRepresentation
bin1001010010010010000100…
…01110100100011111010000
32200022002000002112110200000
410221021002032210133100
510134022400211002122
6111232311455530000
74205152261114266
oct451110216443720
980262002473600
1020419385640912
1165628a3953375
1223594b6b29900
13b51702c443cb
14508436ca2436
1525624d5e30ac
hex1292423a47d0

20419385640912 has 120 divisors (see below), whose sum is σ = 59493031118976. Its totient is φ = 6779977261056.

The previous prime is 20419385640859. The next prime is 20419385640949. The reversal of 20419385640912 is 21904658391402.

It is a happy number.

20419385640912 is a `hidden beast` number, since 2 + 0 + 41 + 9 + 38 + 564 + 0 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9218488 + ... + 11216919.

Almost surely, 220419385640912 is an apocalyptic number.

It is an amenable number.

20419385640912 is an abundant number, since it is smaller than the sum of its proper divisors (39073645478064).

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

20419385640912 is a wasteful number, since it uses less digits than its factorization.

20419385640912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20435687 (or 20435669 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 20419385640912 in words is "twenty trillion, four hundred nineteen billion, three hundred eighty-five million, six hundred forty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 257 324 432 486 514 648 771 972 1028 1296 1542 1944 2056 2313 3084 3888 4112 4626 6168 6939 9252 12336 13878 18504 20817 27756 37008 41634 55512 62451 83268 111024 124902 166536 249804 333072 499608 999216 20435407 40870814 61306221 81741628 122612442 163483256 183918663 245224884 326966512 367837326 490449768 551755989 735674652 980899536 1103511978 1471349304 1655267967 2207023956 2942698608 3310535934 4414047912 4965803901 5251899599 6621071868 8828095824 9931607802 10503799198 13242143736 15755698797 19863215604 21007598396 26484287472 31511397594 39726431208 42015196792 47267096391 63022795188 79452862416 84030393584 94534192782 126045590376 141801289173 189068385564 252091180752 283602578346 378136771128 425403867519 567205156692 756273542256 850807735038 1134410313384 1276211602557 1701615470076 2268820626768 2552423205114 3403230940152 5104846410228 6806461880304 10209692820456 20419385640912