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8903868084225 = 32521989292
BaseRepresentation
bin1000000110010001011111…
…1001001111000000000001
31011112012102212122112010100
42001210113321033000001
52131340110212143400
630534214105553013
71606166102653242
oct201442771170001
934465385575110
108903868084225
112923122456a54
12bb97674a5769
134c78288651aa
1422ad4167acc9
15106923d5b100
hex81917e4f001

8903868084225 has 27 divisors (see below), whose sum is σ = 15947897226313. Its totient is φ = 4748705773440.

The previous prime is 8903868084203. The next prime is 8903868084233. The reversal of 8903868084225 is 5224808683098.

The square root of 8903868084225 is 2983935.

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

8903868084225 is a `hidden beast` number, since 89 + 0 + 386 + 80 + 84 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 852961226481 + 8050906857744 = 923559^2 + 2837412^2 .

It is not a de Polignac number, because 8903868084225 - 29 = 8903868083713 is a prime.

It is a super-2 number, since 2×89038680842252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

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 26 ways as a sum of consecutive naturals, for example, 44659561 + ... + 44858489.

Almost surely, 28903868084225 is an apocalyptic number.

8903868084225 is the 2983935-th square number.

8903868084225 is the 1491968-th centered octagonal number.

It is an amenable number.

8903868084225 is a deficient number, since it is larger than the sum of its proper divisors (7044029142088).

8903868084225 is an frugal number, since it uses more digits than its factorization.

8903868084225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397874 (or 198937 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 8903868084225 in words is "eight trillion, nine hundred three billion, eight hundred sixty-eight million, eighty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 198929 596787 994645 1790361 2983935 4973225 8951805 14919675 44759025 39572747041 118718241123 197863735205 356154723369 593591205615 989318676025 1780773616845 2967956028075 8903868084225