Search a number
-
+
2041158888064 = 2747748745317
BaseRepresentation
bin11101101100111110100…
…011001110101010000000
321020010120212120000000201
4131230332203032222000
5231420243133404224
64201410114454544
7300316551165202
oct35547643165200
97203525500021
102041158888064
11717717a8565a
1228b70bb94454
1311a6327453ca
1470b14d28772
15381665cda44
hex1db3e8cea80

2041158888064 has 64 divisors (see below), whose sum is σ = 4153536092160. Its totient is φ = 998709535744.

The previous prime is 2041158888031. The next prime is 2041158888071. The reversal of 2041158888064 is 4608888511402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2041158887996 and 2041158888014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45019134 + ... + 45064450.

It is an arithmetic number, because the mean of its divisors is an integer number (64899001440).

Almost surely, 22041158888064 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 2041158888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076768046080).

2041158888064 is an abundant number, since it is smaller than the sum of its proper divisors (2112377204096).

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

2041158888064 is an equidigital number, since it uses as much as digits as its factorization.

2041158888064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52865 (or 52853 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 55.

The spelling of 2041158888064 in words is "two trillion, forty-one billion, one hundred fifty-eight million, eight hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 6016 7487 14974 29948 45317 59896 90634 119792 181268 239584 351889 362536 479168 703778 725072 958336 1407556 1450144 2129899 2815112 2900288 4259798 5630224 5800576 8519596 11260448 17039192 22520896 34078384 45041792 68156768 136313536 272627072 339288379 678576758 1357153516 2714307032 5428614064 10857228128 15946553813 21714456256 31893107626 43428912512 63786215252 127572430504 255144861008 510289722016 1020579444032 2041158888064