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13243425273 = 32132919719813
BaseRepresentation
bin11000101010101111…
…01010000111111001
31021011221211201011100
430111113222013321
5204110304102043
610030044322013
7646120154211
oct142527520771
937157751140
1013243425273
115686628471
122697243309
131330951920
148d8c13241
155279d7cd3
hex3155ea1f9

13243425273 has 48 divisors (see below), whose sum is σ = 21420519120. Its totient is φ = 7828434432.

The previous prime is 13243425241. The next prime is 13243425311. The reversal of 13243425273 is 37252434231.

13243425273 is a `hidden beast` number, since 132 + 434 + 25 + 2 + 73 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 684188649 + 12559236624 = 26157^2 + 112068^2 .

It is not a de Polignac number, because 13243425273 - 25 = 13243425241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13243425073) 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 47 ways as a sum of consecutive naturals, for example, 658515 + ... + 678327.

It is an arithmetic number, because the mean of its divisors is an integer number (446260815).

Almost surely, 213243425273 is an apocalyptic number.

13243425273 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13243425273 is a deficient number, since it is larger than the sum of its proper divisors (8177093847).

13243425273 is a wasteful number, since it uses less digits than its factorization.

13243425273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20058 (or 20055 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

It can be divided in two parts, 13243 and 425273, that added together give a triangular number (438516 = T936).

The spelling of 13243425273 in words is "thirteen billion, two hundred forty-three million, four hundred twenty-five thousand, two hundred seventy-three".

Divisors: 1 3 9 13 29 39 87 117 197 261 377 591 1131 1773 2561 3393 5713 7683 17139 19813 23049 51417 59439 74269 178317 222807 257569 574577 668421 772707 1723731 2318121 3903161 5171193 7469501 11709483 22408503 35128449 50741093 67225509 113191669 152223279 339575007 456669837 1018725021 1471491697 4414475091 13243425273