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9855327076 = 227410132
BaseRepresentation
bin10010010110110110…
…00101101101100100
3221102211112111011221
421023123011231210
5130140430431301
64305533510124
7466136620000
oct111333055544
927384474157
109855327076
1141a8091111
121ab0642344
13c10a351aa
14696c63700
153ca331da1
hex24b6c5b64

9855327076 has 45 divisors (see below), whose sum is σ = 20139977081. Its totient is φ = 4219542096.

The previous prime is 9855327049. The next prime is 9855327089. The reversal of 9855327076 is 6707235589.

The square root of 9855327076 is 99274.

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

9855327076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19448100 + 9835878976 = 4410^2 + 99176^2 .

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 14 ways as a sum of consecutive naturals, for example, 9728346 + ... + 9729358.

Almost surely, 29855327076 is an apocalyptic number.

9855327076 is the 99274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9855327076

9855327076 is an abundant number, since it is smaller than the sum of its proper divisors (10284650005).

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

9855327076 is an frugal number, since it uses more digits than its factorization.

9855327076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 52.

The cubic root of 9855327076 is about 2143.9945680160.

The spelling of 9855327076 in words is "nine billion, eight hundred fifty-five million, three hundred twenty-seven thousand, seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1013 1372 2026 2401 4052 4802 7091 9604 14182 28364 49637 99274 198548 347459 694918 1026169 1389836 2052338 2432213 4104676 4864426 7183183 9728852 14366366 28732732 50282281 100564562 201129124 351975967 703951934 1407903868 2463831769 4927663538 9855327076