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428486913504 = 2532131937263619
BaseRepresentation
bin1100011110000111100…
…11110110110111100000
31111221222222201111220100
412033003303312313200
524010020122213004
6524502201342400
742646206445656
oct6170363666740
91457888644810
10428486913504
111557a1768121
126b063497a00
13315383ab790
1416a4b69cdd6
15b22c790739
hex63c3cf6de0

428486913504 has 576 divisors, whose sum is σ = 1426333708800. Its totient is φ = 120869646336.

The previous prime is 428486913487. The next prime is 428486913511. The reversal of 428486913504 is 405319684824.

428486913504 is a `hidden beast` number, since 4 + 2 + 8 + 48 + 6 + 91 + 3 + 504 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692224107 + ... + 692224725.

It is an arithmetic number, because the mean of its divisors is an integer number (2476273800).

Almost surely, 2428486913504 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 428486913504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713166854400).

428486913504 is an abundant number, since it is smaller than the sum of its proper divisors (997846795296).

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

428486913504 is a wasteful number, since it uses less digits than its factorization.

428486913504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 428486913504 in words is "four hundred twenty-eight billion, four hundred eighty-six million, nine hundred thirteen thousand, five hundred four".