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428661909024 = 25310394297621
BaseRepresentation
bin1100011110011100011…
…11011010011000100000
31111222110012000012121220
412033032033122120200
524010344422042044
6524531412215040
742653433051666
oct6171617323040
91458405005556
10428661909024
11155881521918
126b0b200a480
133156571c81b
1416a66a12c36
15b23cd0b019
hex63ce3da620

428661909024 has 48 divisors (see below), whose sum is σ = 1126320773760. Its totient is φ = 142749745920.

The previous prime is 428661909001. The next prime is 428661909029. The reversal of 428661909024 is 420909166824.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (428661909029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2049067 + ... + 2248554.

It is an arithmetic number, because the mean of its divisors is an integer number (23465016120).

Almost surely, 2428661909024 is an apocalyptic number.

It is an amenable number.

428661909024 is an abundant number, since it is smaller than the sum of its proper divisors (697658864736).

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

428661909024 is a wasteful number, since it uses less digits than its factorization.

428661909024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298673 (or 4298665 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 428661909024 in words is "four hundred twenty-eight billion, six hundred sixty-one million, nine hundred nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1039 2078 3117 4156 6234 8312 12468 16624 24936 33248 49872 99744 4297621 8595242 12892863 17190484 25785726 34380968 51571452 68761936 103142904 137523872 206285808 412571616 4465228219 8930456438 13395684657 17860912876 26791369314 35721825752 53582738628 71443651504 107165477256 142887303008 214330954512 428661909024