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12582028521 = 321398003169
BaseRepresentation
bin10111011011111001…
…01000010011101001
31012110212022021101100
423231330220103221
5201231444403041
65440300312013
7623536322616
oct135574502351
935425267340
1012582028521
115377255287
122531842609
13125690a3ba
1487504750d
154d98dd6b6
hex2edf284e9

12582028521 has 6 divisors (see below), whose sum is σ = 18174041210. Its totient is φ = 8388019008.

The previous prime is 12582028507. The next prime is 12582028531.

12582028521 is a `hidden beast` number, since 1 + 2 + 582 + 0 + 28 + 52 + 1 = 666.

12582028521 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 12580762896 + 1265625 = 112164^2 + 1125^2 .

It is not a de Polignac number, because 12582028521 - 231 = 10434544873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12582028531) 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 5 ways as a sum of consecutive naturals, for example, 699001576 + ... + 699001593.

Almost surely, 212582028521 is an apocalyptic number.

It is an amenable number.

12582028521 is a deficient number, since it is larger than the sum of its proper divisors (5592012689).

12582028521 is a wasteful number, since it uses less digits than its factorization.

12582028521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398003175 (or 1398003172 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 12582028521 in words is "twelve billion, five hundred eighty-two million, twenty-eight thousand, five hundred twenty-one".

Divisors: 1 3 9 1398003169 4194009507 12582028521