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8682966981 = 32136110131201
BaseRepresentation
bin10000001011000101…
…11000111111000101
3211102010112102110200
420011202320333011
5120240314420411
63553334041113
7425113000353
oct100542707705
924363472420
108682966981
113756343677
121823aa9199
13a84b9a6b0
145c528a7d3
1535c455e56
hex2058b8fc5

8682966981 has 48 divisors (see below), whose sum is σ = 13753255152. Its totient is φ = 5246208000.

The previous prime is 8682966967. The next prime is 8682966983. The reversal of 8682966981 is 1896692868.

It can be written as a sum of positive squares in 8 ways, for example, as 7767601956 + 915365025 = 88134^2 + 30255^2 .

It is not a de Polignac number, because 8682966981 - 25 = 8682966949 is a prime.

It is a super-2 number, since 2×86829669812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8682966983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7229181 + ... + 7230381.

It is an arithmetic number, because the mean of its divisors is an integer number (286526149).

Almost surely, 28682966981 is an apocalyptic number.

It is an amenable number.

8682966981 is a deficient number, since it is larger than the sum of its proper divisors (5070288171).

8682966981 is a wasteful number, since it uses less digits than its factorization.

8682966981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2291 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The square root of 8682966981 is about 93182.4392307907. The cubic root of 8682966981 is about 2055.3670177588.

The spelling of 8682966981 in words is "eight billion, six hundred eighty-two million, nine hundred sixty-six thousand, nine hundred eighty-one".

Divisors: 1 3 9 13 39 61 117 183 549 793 1013 1201 2379 3039 3603 7137 9117 10809 13169 15613 39507 46839 61793 73261 118521 140517 185379 219783 556137 659349 803309 952393 1216613 2409927 2857179 3649839 7229781 8571537 10949517 15815969 47447907 74213393 142343721 222640179 667920537 964774109 2894322327 8682966981