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32412066012 = 22327121116007
BaseRepresentation
bin11110001011111010…
…001110000011011100
310002122212000112220100
4132023322032003130
51012334442103022
622520115021100
72225126005164
oct361372160334
9102585015810
1032412066012
1112822847a17
12634689a790
133097016ab1
1417d69295a4
15c9a7851ac
hex78be8e0dc

32412066012 has 72 divisors (see below), whose sum is σ = 83137646592. Its totient is φ = 10645034400.

The previous prime is 32412065999. The next prime is 32412066017. The reversal of 32412066012 is 21066021423.

32412066012 is a `hidden beast` number, since 32 + 4 + 1 + 20 + 6 + 601 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32412066017) 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 23 ways as a sum of consecutive naturals, for example, 5392713 + ... + 5398719.

It is an arithmetic number, because the mean of its divisors is an integer number (1154689536).

Almost surely, 232412066012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32412066012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41568823296).

32412066012 is an abundant number, since it is smaller than the sum of its proper divisors (50725580580).

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

32412066012 is a wasteful number, since it uses less digits than its factorization.

32412066012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8199 (or 8194 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 32412066012 its reverse (21066021423), we get a palindrome (53478087435).

The spelling of 32412066012 in words is "thirty-two billion, four hundred twelve million, sixty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2111 2556 4222 6007 6333 8444 12014 12666 18021 18999 24028 25332 36042 37998 54063 72084 75996 108126 149881 216252 299762 426497 449643 599524 852994 899286 1279491 1348929 1705988 1798572 2558982 2697858 3838473 5117964 5395716 7676946 12680777 15353892 25361554 38042331 50723108 76084662 114126993 152169324 228253986 456507972 900335167 1800670334 2701005501 3601340668 5402011002 8103016503 10804022004 16206033006 32412066012