Search a number
-
+
104110666322432 = 297311177144651
BaseRepresentation
bin10111101011000000100111…
…010010001001001000000000
3111122121212211100012220010112
4113223000213102021020000
5102121222121034304212
61005231440240050452
730633514236314000
oct2753004722111000
9448555740186115
10104110666322432
113019a0a3a85850
12b815417603a28
1346127944b8ab3
141b9cda9a24000
15c082560e1422
hex5eb027489200

104110666322432 has 640 divisors, whose sum is σ = 284159898316800. Its totient is φ = 37638021120000.

The previous prime is 104110666322423. The next prime is 104110666322459. The reversal of 104110666322432 is 234223666011401.

It is a self number, because there is not a number n which added to its sum of digits gives 104110666322432.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2331631307 + ... + 2331675957.

It is an arithmetic number, because the mean of its divisors is an integer number (443999841120).

Almost surely, 2104110666322432 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 104110666322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142079949158400).

104110666322432 is an abundant number, since it is smaller than the sum of its proper divisors (180049231994368).

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

104110666322432 is an equidigital number, since it uses as much as digits as its factorization.

104110666322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44789 (or 44759 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 104110666322432 in words is "one hundred four trillion, one hundred ten billion, six hundred sixty-six million, three hundred twenty-two thousand, four hundred thirty-two".