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428652812232 = 23321923121312
BaseRepresentation
bin1100011110011011011…
…00101101011111001000
31111222102112220001011200
412033031230231133020
524010340104442412
6524530445224200
742653262533511
oct6171554553710
91458375801150
10428652812232
11155877379307
126b0aab62060
13315638860c8
1416a65725a08
15b23c1109dc
hex63cdb2d7c8

428652812232 has 324 divisors, whose sum is σ = 1275789950955. Its totient is φ = 129997483200.

The previous prime is 428652812221. The next prime is 428652812257. The reversal of 428652812232 is 232218256824.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

428652812232 is a `hidden beast` number, since 4 + 2 + 86 + 528 + 12 + 2 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 214326406116 + 214326406116 = 462954^2 + 462954^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=462954.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3272158807 + ... + 3272158937.

Almost surely, 2428652812232 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 428652812232

428652812232 is an abundant number, since it is smaller than the sum of its proper divisors (847137138723).

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

428652812232 is a wasteful number, since it uses less digits than its factorization.

428652812232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 186 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 428652812232 in words is "four hundred twenty-eight billion, six hundred fifty-two million, eight hundred twelve thousand, two hundred thirty-two".