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45146032105 = 522939799317
BaseRepresentation
bin101010000010111010…
…011100011111101001
311022112022020001110011
4222002322130133221
51214424341011410
632423444051521
73155521640566
oct520272343751
9138468201404
1045146032105
1118167838139
1288bb393ba1
134346250c85
142283c0386d
15129368718a
hexa82e9c7e9

45146032105 has 16 divisors (see below), whose sum is σ = 54549418320. Its totient is φ = 35868172032.

The previous prime is 45146032093. The next prime is 45146032157. The reversal of 45146032105 is 50123064154.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 474673369 + 44671358736 = 21787^2 + 211356^2 .

It is a cyclic number.

It is not a de Polignac number, because 45146032105 - 213 = 45146023913 is a prime.

It is a super-3 number, since 3×451460321053 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 404907 + ... + 504223.

It is an arithmetic number, because the mean of its divisors is an integer number (3409338645).

Almost surely, 245146032105 is an apocalyptic number.

It is an amenable number.

45146032105 is a deficient number, since it is larger than the sum of its proper divisors (9403386215).

45146032105 is a wasteful number, since it uses less digits than its factorization.

45146032105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99948.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 45146032105 its reverse (50123064154), we get a palindrome (95269096259).

The spelling of 45146032105 in words is "forty-five billion, one hundred forty-six million, thirty-two thousand, one hundred five".

Divisors: 1 5 229 397 1145 1985 90913 99317 454565 496585 22743593 39428849 113717965 197144245 9029206421 45146032105