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9640294225 = 527322692
BaseRepresentation
bin10001111101001101…
…10011011101010001
3220212211220200120021
420332212303131101
5124220403403400
64232332543441
7460616102032
oct107646633521
926784820507
109640294225
1140a7770811
121a50621b81
13ba8316613
1467648aa89
153b650871a
hex23e9b3751

9640294225 has 27 divisors (see below), whose sum is σ = 12165184083. Its totient is φ = 7578311040.

The previous prime is 9640294219. The next prime is 9640294249. The reversal of 9640294225 is 5224920469.

The square root of 9640294225 is 98185.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9312829009 + 327465216 = 96503^2 + 18096^2 .

It is not a de Polignac number, because 9640294225 - 23 = 9640294217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 35837391 + ... + 35837659.

Almost surely, 29640294225 is an apocalyptic number.

9640294225 is the 98185-th square number.

9640294225 is the 49093-rd centered octagonal number.

It is an amenable number.

9640294225 is a deficient number, since it is larger than the sum of its proper divisors (2524889858).

9640294225 is an frugal number, since it uses more digits than its factorization.

9640294225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The cubic root of 9640294225 is about 2128.2865296505.

The spelling of 9640294225 in words is "nine billion, six hundred forty million, two hundred ninety-four thousand, two hundred twenty-five".

Divisors: 1 5 25 73 269 365 1345 1825 5329 6725 19637 26645 72361 98185 133225 361805 490925 1433501 1809025 5282353 7167505 26411765 35837525 132058825 385611769 1928058845 9640294225