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9646832224225 = 5272887412
BaseRepresentation
bin1000110001100001010000…
…0000100000011111100001
31021011020011022202101000201
42030120110000200133201
52231023203022133400
632303405445545201
72013650331650200
oct214302400403741
937136138671021
109646832224225
11308a220330969
1210b9754715201
1354c9001c1881
14254ca2a9d237
1511ae09c5906a
hex8c6140207e1

9646832224225 has 27 divisors (see below), whose sum is σ = 13915220105241. Its totient is φ = 6614896125600.

The previous prime is 9646832224217. The next prime is 9646832224243. The reversal of 9646832224225 is 5224222386469.

The square root of 9646832224225 is 3105935.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1773241120161 + 7873591104064 = 1331631^2 + 2805992^2 .

It is not a de Polignac number, because 9646832224225 - 23 = 9646832224217 is a prime.

It is a super-2 number, since 2×96468322242252 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108663355 + ... + 108752095.

Almost surely, 29646832224225 is an apocalyptic number.

9646832224225 is the 3105935-th square number.

9646832224225 is the 1552968-th centered octagonal number.

It is an amenable number.

9646832224225 is a deficient number, since it is larger than the sum of its proper divisors (4268387881016).

9646832224225 is an frugal number, since it uses more digits than its factorization.

9646832224225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177506 (or 88753 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 55.

The spelling of 9646832224225 in words is "nine trillion, six hundred forty-six billion, eight hundred thirty-two million, two hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 88741 443705 621187 2218525 3105935 4348309 15529675 21741545 108707725 7874965081 39374825405 55124755567 196874127025 275623777835 385873288969 1378118889175 1929366444845 9646832224225