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104959317729 = 37377310931693
BaseRepresentation
bin110000111000000010…
…0000001011011100001
3101000220210110210020010
41201300010001123201
53204424041131404
6120115002235133
710403663323530
oct1416004013341
9330823423203
10104959317729
11405708869a2
12184127b5aa9
139b890c6086
145119972317
152ae4807189
hex18701016e1

104959317729 has 64 divisors (see below), whose sum is σ = 166761588224. Its totient is φ = 57469741056.

The previous prime is 104959317707. The next prime is 104959317739. The reversal of 104959317729 is 927713959401.

It is a happy number.

It is not a de Polignac number, because 104959317729 - 27 = 104959317601 is a prime.

It is a super-2 number, since 2×1049593177292 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104959317739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61995207 + ... + 61996899.

It is an arithmetic number, because the mean of its divisors is an integer number (2605649816).

Almost surely, 2104959317729 is an apocalyptic number.

It is an amenable number.

104959317729 is a deficient number, since it is larger than the sum of its proper divisors (61802270495).

104959317729 is a wasteful number, since it uses less digits than its factorization.

104959317729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906.

The product of its (nonzero) digits is 4286520, while the sum is 57.

The spelling of 104959317729 in words is "one hundred four billion, nine hundred fifty-nine million, three hundred seventeen thousand, seven hundred twenty-nine".

Divisors: 1 3 7 21 37 73 111 219 259 511 777 1093 1533 1693 2701 3279 5079 7651 8103 11851 18907 22953 35553 40441 56721 62641 79789 121323 123589 187923 239367 283087 370767 438487 558523 849261 865123 1315461 1675569 1850449 2595369 2952193 4572793 5551347 8856579 12953143 13718379 20665351 32009551 38859429 61996053 68466613 96028653 135082777 205399839 405248331 479266291 945579439 1437798873 2836738317 4998062749 14994188247 34986439243 104959317729