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13330044104 = 231313726829
BaseRepresentation
bin11000110101000100…
…00101010011001000
31021101222211101212012
430122202011103020
5204244442402404
610042421035052
7651221335226
oct143242052310
937358741765
1013330044104
11572050a483
122700255a88
13134588b880
1490651db16
155303e7a6e
hex31a8854c8

13330044104 has 48 divisors (see below), whose sum is σ = 27118310100. Its totient is φ = 6106526208.

The previous prime is 13330044089. The next prime is 13330044139. The reversal of 13330044104 is 40144003331.

It can be written as a sum of positive squares in 6 ways, for example, as 5520787204 + 7809256900 = 74302^2 + 88370^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13330044104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1948562 + ... + 1955390.

Almost surely, 213330044104 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 13330044104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13559155050).

13330044104 is an abundant number, since it is smaller than the sum of its proper divisors (13788265996).

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

13330044104 is a wasteful number, since it uses less digits than its factorization.

13330044104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7122 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13330044104 its reverse (40144003331), we get a palindrome (53474047435).

The spelling of 13330044104 in words is "thirteen billion, three hundred thirty million, forty-four thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 104 137 274 548 1096 1781 3562 6829 7124 13658 14248 18769 27316 37538 54632 75076 88777 150152 177554 243997 355108 487994 710216 935573 975988 1871146 1951976 3742292 7484584 12162449 24324898 48649796 97299592 128173501 256347002 512694004 1025388008 1666255513 3332511026 6665022052 13330044104