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9884216313 = 3217611059061
BaseRepresentation
bin10010011010010010…
…10010101111111001
3221111211220012202200
421031021102233321
5130220324410223
64312445020413
7466640311116
oct111511225771
927454805680
109884216313
114212423014
121aba254709
13c16a0b70a
1469aa2390d
153ccb3ba43
hex24d252bf9

9884216313 has 24 divisors (see below), whose sum is σ = 15364871496. Its totient is φ = 6100185600.

The previous prime is 9884216311. The next prime is 9884216317. The reversal of 9884216313 is 3136124889.

9884216313 is a `hidden beast` number, since 9 + 8 + 8 + 4 + 2 + 1 + 631 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1191078144 + 8693138169 = 34512^2 + 93237^2 .

It is not a de Polignac number, because 9884216313 - 21 = 9884216311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9884216311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520198 + ... + 538863.

It is an arithmetic number, because the mean of its divisors is an integer number (640202979).

Almost surely, 29884216313 is an apocalyptic number.

It is an amenable number.

9884216313 is a deficient number, since it is larger than the sum of its proper divisors (5480655183).

9884216313 is a wasteful number, since it uses less digits than its factorization.

9884216313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059145 (or 1059142 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 9884216313 is about 99419.3960603262. The cubic root of 9884216313 is about 2146.0874444353.

The spelling of 9884216313 in words is "nine billion, eight hundred eighty-four million, two hundred sixteen thousand, three hundred thirteen".

Divisors: 1 3 9 17 51 61 153 183 549 1037 3111 9333 1059061 3177183 9531549 18004037 54012111 64602721 162036333 193808163 581424489 1098246257 3294738771 9884216313