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20006073275517 = 347131269344121
BaseRepresentation
bin1001000110010000001101…
…11001000001010001111101
32121211120011122101212110000
410203020012321001101331
510110234414224304032
6110314355125304513
74133251101015330
oct443100671012175
977746148355400
1020006073275517
1164135898968aa
1222b1389565139
13b217455c71a4
144d2428aa2617
1524a60d144e7c
hex123206e4147d

20006073275517 has 40 divisors (see below), whose sum is σ = 34415714532672. Its totient is φ = 11344774334400.

The previous prime is 20006073275483. The next prime is 20006073275543. The reversal of 20006073275517 is 71557237060002.

20006073275517 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 6 + 0 + 73 + 27 + 551 + 7 = 666.

It is not a de Polignac number, because 20006073275517 - 28 = 20006073275261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20006073075517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134597784 + ... + 134746337.

Almost surely, 220006073275517 is an apocalyptic number.

20006073275517 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20006073275517 is a deficient number, since it is larger than the sum of its proper divisors (14409641257155).

20006073275517 is a wasteful number, since it uses less digits than its factorization.

20006073275517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269344271 (or 269344262 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 20006073275517 in words is "twenty trillion, six billion, seventy-three million, two hundred seventy-five thousand, five hundred seventeen".

Divisors: 1 3 7 9 21 27 63 81 131 189 393 567 917 1179 2751 3537 8253 10611 24759 74277 269344121 808032363 1885408847 2424097089 5656226541 7272291267 16968679623 21816873801 35284079851 50906038869 105852239553 152718116607 246988558957 317556718659 740965676871 952670155977 2222897030613 2858010467931 6668691091839 20006073275517