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20104414412445 = 325112391427119087
BaseRepresentation
bin1001001001000111011000…
…11110101011111010011101
32122011222000012121020100200
410210203230132223322131
510113342320042144240
6110431501313214113
74143332062623336
oct444435436537235
978158005536320
1020104414412445
1164512638a6590
122308453861339
13b2aab853153c
144d70b76a928d
1524ce66904930
hex1248ec7abe9d

20104414412445 has 96 divisors (see below), whose sum is σ = 38201753640960. Its totient is φ = 9699926248320.

The previous prime is 20104414412431. The next prime is 20104414412447. The reversal of 20104414412445 is 54421441440102.

20104414412445 is a `hidden beast` number, since 2 + 0 + 10 + 441 + 44 + 124 + 45 = 666.

It is not a de Polignac number, because 20104414412445 - 25 = 20104414412413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20104414412447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168761692 + ... + 168880778.

It is an arithmetic number, because the mean of its divisors is an integer number (397934933760).

Almost surely, 220104414412445 is an apocalyptic number.

It is an amenable number.

20104414412445 is a deficient number, since it is larger than the sum of its proper divisors (18097339228515).

20104414412445 is a wasteful number, since it uses less digits than its factorization.

20104414412445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120775 (or 120772 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 20104414412445 its reverse (54421441440102), we get a palindrome (74525855852547).

The spelling of 20104414412445 in words is "twenty trillion, one hundred four billion, four hundred fourteen million, four hundred twelve thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 239 495 717 1195 1427 2151 2629 3585 4281 7135 7887 10755 12843 13145 15697 21405 23661 39435 47091 64215 78485 118305 119087 141273 235455 341053 357261 595435 706365 1023159 1071783 1309957 1705265 1786305 3069477 3751583 3929871 5115795 5358915 6549785 11254749 11789613 15347385 18757915 19649355 28461793 33764247 56273745 58948065 85385379 142308965 168821235 169937149 256156137 313079723 426926895 509811447 849685745 939239169 1280780685 1529434341 1565398615 1869308639 2549057235 2817717507 4696195845 5607925917 7647171705 9346543195 14088587535 16823777751 28039629585 40614978611 84118888755 121844935833 203074893055 365534807499 446764764721 609224679165 1340294294163 1827674037495 2233823823605 4020882882489 6701471470815 20104414412445