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17904638442 = 23173110951949
BaseRepresentation
bin10000101011001100…
…110001100111101010
31201012210201212120010
4100223030301213222
5243132041412232
612120354312350
71202456626035
oct205314614752
951183655503
1017904638442
117658779959
1235782886b6
1318c4552122
14c1bcc601c
156ebd1d0cc
hex42b3319ea

17904638442 has 64 divisors (see below), whose sum is σ = 39498624000. Its totient is φ = 5385968640.

The previous prime is 17904638441. The next prime is 17904638449. The reversal of 17904638442 is 24483640971.

It is a junction number, because it is equal to n+sod(n) for n = 17904638391 and 17904638400.

It is not an unprimeable number, because it can be changed into a prime (17904638441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318684 + ... + 370632.

It is an arithmetic number, because the mean of its divisors is an integer number (617166000).

Almost surely, 217904638442 is an apocalyptic number.

17904638442 is an abundant number, since it is smaller than the sum of its proper divisors (21593985558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17904638442 is a wasteful number, since it uses less digits than its factorization.

17904638442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52111.

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 17904638442 in words is "seventeen billion, nine hundred four million, six hundred thirty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 109 186 218 327 527 654 1054 1581 1853 3162 3379 3706 5559 6758 10137 11118 20274 51949 57443 103898 114886 155847 172329 311694 344658 883133 1610419 1766266 2649399 3220838 4831257 5298798 5662441 9662514 11324882 16987323 27377123 33974646 54754246 82131369 96261497 164262738 175535671 192522994 288784491 351071342 526607013 577568982 1053214026 2984106407 5968212814 8952319221 17904638442