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32513313042 = 232717113134327
BaseRepresentation
bin11110010001111100…
…011100100100010010
310002220220112102201100
4132101330130210102
51013041402004132
622534133045230
72230465413060
oct362174344422
9102826472640
1032513313042
1112874a10351
126374786816
1330b1ca6092
141806163030
15ca45d437c
hex791f1c912

32513313042 has 96 divisors (see below), whose sum is σ = 86000009472. Its totient is φ = 8665638912.

The previous prime is 32513313023. The next prime is 32513313047. The reversal of 32513313042 is 24031331523.

32513313042 is a `hidden beast` number, since 3 + 25 + 1 + 331 + 304 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32513312997 and 32513313015.

It is not an unprimeable number, because it can be changed into a prime (32513313047) 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 47 ways as a sum of consecutive naturals, for example, 174883 + ... + 309209.

It is an arithmetic number, because the mean of its divisors is an integer number (895833432).

Almost surely, 232513313042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32513313042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43000004736).

32513313042 is an abundant number, since it is smaller than the sum of its proper divisors (53486696430).

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

32513313042 is a wasteful number, since it uses less digits than its factorization.

32513313042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134472 (or 134469 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 32513313042 its reverse (24031331523), we get a palindrome (56544644565).

The spelling of 32513313042 in words is "thirty-two billion, five hundred thirteen million, three hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 113 119 126 153 226 238 306 339 357 678 714 791 1017 1071 1582 1921 2034 2142 2373 3842 4746 5763 7119 11526 13447 14238 17289 26894 34578 40341 80682 121023 134327 242046 268654 402981 805962 940289 1208943 1880578 2283559 2417886 2820867 4567118 5641734 6850677 8462601 13701354 15178951 15984913 16925202 20552031 30357902 31969826 41104062 45536853 47954739 91073706 95909478 106252657 136610559 143864217 212505314 258042167 273221118 287728434 318757971 516084334 637515942 774126501 956273913 1548253002 1806295169 1912547826 2322379503 3612590338 4644759006 5418885507 10837771014 16256656521 32513313042