Search a number
-
+
6489104544 = 25321317432371
BaseRepresentation
bin1100000101100011…
…11110000010100000
3121202020101122222100
412002301332002200
5101242202321134
62551524010400
7316543323066
oct60261760240
917666348870
106489104544
11282aa2631a
121311230a00
137c5507840
14457b6a036
1527ea4c999
hex182c7e0a0

6489104544 has 288 divisors, whose sum is σ = 21540302784. Its totient is φ = 1834721280.

The previous prime is 6489104509. The next prime is 6489104551. The reversal of 6489104544 is 4454019846.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×64891045442 = 84216955565922895872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6489104544.

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 47 ways as a sum of consecutive naturals, for example, 2735679 + ... + 2738049.

It is an arithmetic number, because the mean of its divisors is an integer number (74792718).

Almost surely, 26489104544 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 6489104544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10770151392).

6489104544 is an abundant number, since it is smaller than the sum of its proper divisors (15051198240).

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

6489104544 is a wasteful number, since it uses less digits than its factorization.

6489104544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6489104544 is about 80554.9783936412. The cubic root of 6489104544 is about 1865.2122411054.

The spelling of 6489104544 in words is "six billion, four hundred eighty-nine million, one hundred four thousand, five hundred forty-four".