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8831684394225 = 325272112312832
BaseRepresentation
bin1000000010000100100101…
…1010010011110011110001
31011021022010021022010201100
42000201021122103303301
52124144242201103400
630441115250555013
71601032241504400
oct200411132236361
934238107263640
108831684394225
1128a5550665300
12ba7781298a69
134c0a93ba9ba4
14227654a31637
15104aebba1100
hex80849693cf1

8831684394225 has 729 divisors, whose sum is σ = 21154387554027. Its totient is φ = 3509119152000.

The previous prime is 8831684394199. The next prime is 8831684394283. The reversal of 8831684394225 is 5224934861388.

The square root of 8831684394225 is 2971815.

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

8831684394225 is a `hidden beast` number, since 8 + 8 + 3 + 16 + 8 + 4 + 394 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3179406381921 + 5652278012304 = 1783089^2 + 2377452^2 .

It is not a de Polignac number, because 8831684394225 - 211 = 8831684392177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 106405836034 + ... + 106405836116.

Almost surely, 28831684394225 is an apocalyptic number.

8831684394225 is the 2971815-th square number.

8831684394225 is the 1485908-th centered octagonal number.

It is an amenable number.

8831684394225 is an abundant number, since it is smaller than the sum of its proper divisors (12322703159802).

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

8831684394225 is a wasteful number, since it uses less digits than its factorization.

8831684394225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 8831684394225 in words is "eight trillion, eight hundred thirty-one billion, six hundred eighty-four million, three hundred ninety-four thousand, two hundred twenty-five".