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428583295332 = 223254869216973
BaseRepresentation
bin1100011110010011000…
…11100001100101100100
31111222020201002012220200
412033021203201211210
524010214310422312
6524515523230500
742651456621363
oct6171143414544
91458221065820
10428583295332
11155841108225
126b08b818430
133155235644a
1416a5a3cb7da
15b235e7d0dc
hex63c98e1964

428583295332 has 36 divisors (see below), whose sum is σ = 1083388067580. Its totient is φ = 142857836352.

The previous prime is 428583295331. The next prime is 428583295333. The reversal of 428583295332 is 233592385824.

428583295332 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 83 + 29 + 533 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (428583295331) and next prime (428583295333).

It can be written as a sum of positive squares in 2 ways, for example, as 146724238116 + 281859057216 = 383046^2 + 530904^2 .

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

It is not an unprimeable number, because it can be changed into a prime (428583295331) 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, 1866798 + ... + 2083770.

Almost surely, 2428583295332 is an apocalyptic number.

It is an amenable number.

428583295332 is an abundant number, since it is smaller than the sum of its proper divisors (654804772248).

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

428583295332 is a wasteful number, since it uses less digits than its factorization.

428583295332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271852 (or 271847 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 428583295332 in words is "four hundred twenty-eight billion, five hundred eighty-three million, two hundred ninety-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 54869 109738 164607 216973 219476 329214 433946 493821 650919 658428 867892 987642 1301838 1952757 1975284 2603676 3905514 7811028 11905091537 23810183074 35715274611 47620366148 71430549222 107145823833 142861098444 214291647666 428583295332