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428906351736 = 233212746905769
BaseRepresentation
bin1100011110111001100…
…11111000110001111000
31112000002012222011222200
412033130303320301320
524011400011223421
6525011543350200
742662461556652
oct6173463706170
91460065864880
10428906351736
111559974aa295
126b15ba52360
13315a4267895
1416a8b2836d2
15b2544e3726
hex63dccf8c78

428906351736 has 48 divisors (see below), whose sum is σ = 1170768019200. Its totient is φ = 141843042432.

The previous prime is 428906351719. The next prime is 428906351807. The reversal of 428906351736 is 637153609824.

428906351736 is a `hidden beast` number, since 4 + 2 + 8 + 90 + 6 + 3 + 517 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23443741 + ... + 23462028.

It is an arithmetic number, because the mean of its divisors is an integer number (24391000400).

It is a 1-persistent number, because it is pandigital, but 2⋅428906351736 = 857812703472 is not.

Almost surely, 2428906351736 is an apocalyptic number.

It is an amenable number.

428906351736 is an abundant number, since it is smaller than the sum of its proper divisors (741861667464).

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

428906351736 is a wasteful number, since it uses less digits than its factorization.

428906351736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46905908 (or 46905901 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 428906351736 in words is "four hundred twenty-eight billion, nine hundred six million, three hundred fifty-one thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 46905769 93811538 140717307 187623076 281434614 375246152 422151921 562869228 844303842 1125738456 1688607684 3377215368 5957032663 11914065326 17871097989 23828130652 35742195978 47656261304 53613293967 71484391956 107226587934 142968783912 214453175868 428906351736