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20004362501337 = 321747107113230077
BaseRepresentation
bin1001000110001101000001…
…11010111011110011011001
32121211101202102021112110100
410203012200322323303121
510110222413300020322
6110313513253410013
74133160515460444
oct443064072736331
977741672245410
1020004362501337
116412891134945
1222b0b90639909
13b21532047886
144d23057b465b
1524a55cd63dac
hex1231a0ebbcd9

20004362501337 has 96 divisors (see below), whose sum is σ = 31817114813952. Its totient is φ = 12062137393152.

The previous prime is 20004362501323. The next prime is 20004362501359. The reversal of 20004362501337 is 73310526340002.

20004362501337 is a `hidden beast` number, since 20 + 0 + 0 + 4 + 3 + 625 + 0 + 1 + 3 + 3 + 7 = 666.

It is not a de Polignac number, because 20004362501337 - 215 = 20004362468569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20004362501237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86831343 + ... + 87061419.

It is an arithmetic number, because the mean of its divisors is an integer number (331428279312).

Almost surely, 220004362501337 is an apocalyptic number.

It is an amenable number.

20004362501337 is a deficient number, since it is larger than the sum of its proper divisors (11812752312615).

20004362501337 is a wasteful number, since it uses less digits than its factorization.

20004362501337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230367 (or 230364 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 20004362501337 its reverse (73310526340002), we get a palindrome (93314888841339).

The spelling of 20004362501337 in words is "twenty trillion, four billion, three hundred sixty-two million, five hundred one thousand, three hundred thirty-seven".

Divisors: 1 3 9 17 47 51 107 113 141 153 321 339 423 799 963 1017 1819 1921 2397 5029 5311 5457 5763 7191 12091 15087 15933 16371 17289 36273 45261 47799 85493 90287 108819 205547 230077 256479 270861 568277 616641 690231 769437 812583 1704831 1849923 2070693 3911309 5114493 9660709 10813619 11733927 24618239 25998701 28982127 32440857 35201781 73854717 77996103 86946381 97322571 183831523 221564151 233988309 418510063 441977917 551494569 1157057233 1221938947 1255530189 1325933751 1654483707 2781861007 3471171699 3665816841 3766590567 3977801253 8345583021 10413515097 10997450523 19669972961 20772962099 25036749063 47291637119 59009918883 62318886297 130747467329 141874911357 177029756649 186956658891 392242401987 425624734071 1176727205961 2222706944593 6668120833779 20004362501337