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428181462027 = 321136711784919
BaseRepresentation
bin1100011101100011001…
…10101001110000001011
31111221012200221222020200
412032301212221300023
524003403423241102
6524412010423243
742635510242614
oct6166146516013
91457180858220
10428181462027
111556552aa990
126ab99131b23
13314ba022567
1416a1ccaac0b
15b210a5651c
hex63b19a9c0b

428181462027 has 24 divisors (see below), whose sum is σ = 676548687360. Its totient is φ = 258796799280.

The previous prime is 428181462011. The next prime is 428181462073. The reversal of 428181462027 is 720264181824.

428181462027 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 8 + 14 + 620 + 2 + 7 = 666.

It is not a de Polignac number, because 428181462027 - 24 = 428181462011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428181460027) 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 23 ways as a sum of consecutive naturals, for example, 5856127 + ... + 5928792.

It is an arithmetic number, because the mean of its divisors is an integer number (28189528640).

Almost surely, 2428181462027 is an apocalyptic number.

428181462027 is a deficient number, since it is larger than the sum of its proper divisors (248367225333).

428181462027 is a wasteful number, since it uses less digits than its factorization.

428181462027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11785303 (or 11785300 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 428181462027 in words is "four hundred twenty-eight billion, one hundred eighty-one million, four hundred sixty-two thousand, twenty-seven".

Divisors: 1 3 9 11 33 99 367 1101 3303 4037 12111 36333 11784919 35354757 106064271 129634109 388902327 1166706981 4325065273 12975195819 38925587457 47575718003 142727154009 428181462027