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20514277376523 = 32717887136715797
BaseRepresentation
bin1001010101000010110100…
…01101110100001000001011
32200122010221021002002112100
410222201122031310020023
510142101220002022043
6111344043503044443
74215051626422560
oct452413215641013
980563837062470
1020514277376523
11659a068855867
122373979ba0723
13b5a646349ba8
1450cc7971c867
1525895413ccd3
hex12a85a37420b

20514277376523 has 96 divisors (see below), whose sum is σ = 35925847087104. Its totient is φ = 11011691344896.

The previous prime is 20514277376519. The next prime is 20514277376543. The reversal of 20514277376523 is 32567377241502.

It is a happy number.

20514277376523 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 42 + 7 + 7 + 3 + 76 + 523 = 666.

It is not a de Polignac number, because 20514277376523 - 22 = 20514277376519 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20514277376523.

It is not an unprimeable number, because it can be changed into a prime (20514277376543) 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 95 ways as a sum of consecutive naturals, for example, 1298610661 + ... + 1298626457.

It is an arithmetic number, because the mean of its divisors is an integer number (374227573824).

Almost surely, 220514277376523 is an apocalyptic number.

20514277376523 is a deficient number, since it is larger than the sum of its proper divisors (15411569710581).

20514277376523 is a wasteful number, since it uses less digits than its factorization.

20514277376523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18081 (or 18078 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 20514277376523 in words is "twenty trillion, five hundred fourteen billion, two hundred seventy-seven million, three hundred seventy-six thousand, five hundred twenty-three".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 887 1071 1367 2661 4101 6209 7983 9569 12303 15079 15797 18627 23239 28707 45237 47391 55881 69717 86121 105553 110579 135711 142173 162673 209151 268549 316659 331737 488019 805647 949977 995211 1212529 1464057 1879843 2416941 3637587 5639529 8487703 10912761 14011939 16918587 20612993 21594499 25463109 42035817 61838979 64783497 76389327 98083573 126107451 144290951 151161493 185516937 194350491 238202963 294250719 367106483 432872853 453484479 714608889 882752157 1101319449 1298618559 1360453437 1667420741 2143826667 2569745381 3303958347 5002262223 7709236143 15006786669 19154320613 23127708429 57462961839 134080244291 172388885517 325623450421 402240732873 976870351263 1206722198619 2279364152947 2930611053789 6838092458841 20514277376523