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8398021468356 = 22321325327012
BaseRepresentation
bin111101000110101000100…
…0101100010000011000100
31002201211202112222221200100
41322031101011202003010
52100043121443441411
625505555305244100
71524510541451352
oct172152105420304
932654675887610
108398021468356
112748643201513
12b37714493630
1348bc12363a00
14210675b747d2
15e86b9cdc456
hex7a3511620c4

8398021468356 has 243 divisors, whose sum is σ = 23462259974517. Its totient is φ = 2531635142400.

The previous prime is 8398021468313. The next prime is 8398021468373. The reversal of 8398021468356 is 6538641208938.

It is a happy number.

The square root of 8398021468356 is 2897934.

It is a perfect power (a square), and thus also a powerful number.

8398021468356 is a `hidden beast` number, since 8 + 3 + 9 + 8 + 0 + 214 + 68 + 356 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2233129741956 + 6164891726400 = 1494366^2 + 2482920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8398021468293 and 8398021468302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11980058806 + ... + 11980059506.

Almost surely, 28398021468356 is an apocalyptic number.

8398021468356 is the 2897934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8398021468356

8398021468356 is an abundant number, since it is smaller than the sum of its proper divisors (15064238506161).

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

8398021468356 is a wasteful number, since it uses less digits than its factorization.

8398021468356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 8398021468356 in words is "eight trillion, three hundred ninety-eight billion, twenty-one million, four hundred sixty-eight thousand, three hundred fifty-six".