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428057186580 = 223252378095481
BaseRepresentation
bin1100011101010100011…
…00100101000100010100
31111220220001010010101100
412032222030211010110
524003130114432310
6524351411030100
742632441023542
oct6165214450424
91456801103340
10428057186580
111555a1138a01
126ab6359b330
133149a35c5aa
1416a0a59ad92
15b204ba8ec0
hex63aa325114

428057186580 has 36 divisors (see below), whose sum is σ = 1298440133172. Its totient is φ = 114148583040.

The previous prime is 428057186561. The next prime is 428057186581. The reversal of 428057186580 is 85681750824.

428057186580 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 57 + 1 + 8 + 6 + 580 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71805777156 + 356251409424 = 267966^2 + 596868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428057186581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1189047561 + ... + 1189047920.

It is an arithmetic number, because the mean of its divisors is an integer number (36067781477).

Almost surely, 2428057186580 is an apocalyptic number.

It is an amenable number.

428057186580 is an abundant number, since it is smaller than the sum of its proper divisors (870382946592).

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

428057186580 is a wasteful number, since it uses less digits than its factorization.

428057186580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378095496 (or 2378095491 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 428057186580 in words is "four hundred twenty-eight billion, fifty-seven million, one hundred eighty-six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2378095481 4756190962 7134286443 9512381924 11890477405 14268572886 21402859329 23780954810 28537145772 35671432215 42805718658 47561909620 71342864430 85611437316 107014296645 142685728860 214028593290 428057186580