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32135441004 = 22324183262313
BaseRepresentation
bin11101111011011010…
…111110101001101100
310001221120111112201200
4131323122332221230
51011303133103004
622432434005500
72215226512242
oct357332765154
9101846445650
1032135441004
11126a0689507
12628a116890
133051911664
1417abcbc792
15c81342239
hex77b6bea6c

32135441004 has 72 divisors (see below), whose sum is σ = 84215385072. Its totient is φ = 10324600320.

The previous prime is 32135440871. The next prime is 32135441011. The reversal of 32135441004 is 40014453123.

It is a happy number.

32135441004 is a `hidden beast` number, since 3 + 2 + 13 + 544 + 100 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8649 + ... + 253664.

It is an arithmetic number, because the mean of its divisors is an integer number (1169658126).

Almost surely, 232135441004 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 32135441004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42107692536).

32135441004 is an abundant number, since it is smaller than the sum of its proper divisors (52079944068).

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

32135441004 is a wasteful number, since it uses less digits than its factorization.

32135441004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262447 (or 262442 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 32135441004 its reverse (40014453123), we get a palindrome (72149894127).

The spelling of 32135441004 in words is "thirty-two billion, one hundred thirty-five million, four hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 83 123 164 166 246 249 332 369 492 498 738 747 996 1476 1494 2988 3403 6806 10209 13612 20418 30627 40836 61254 122508 262313 524626 786939 1049252 1573878 2360817 3147756 4721634 9443268 10754833 21509666 21771979 32264499 43019332 43543958 64528998 65315937 87087916 96793497 129057996 130631874 193586994 195947811 261263748 387173988 391895622 783791244 892651139 1785302278 2677953417 3570604556 5355906834 8033860251 10711813668 16067720502 32135441004