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8608685089 = 312412732
BaseRepresentation
bin10000000010001111…
…00001110000100001
3211012221202111212111
420001013201300201
5120112310410324
63542121555321
7423221421154
oct100107416041
924187674774
108608685089
113718418584
121803045b41
13a7268cc04
145b9471c9b
15355b81794
hex2011e1c21

8608685089 has 27 divisors (see below), whose sum is σ = 9244203417. Its totient is φ = 8016451200.

The previous prime is 8608685077. The next prime is 8608685147. The reversal of 8608685089 is 9805868068.

The square root of 8608685089 is 92783.

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 1951430625 + 6657254464 = 44175^2 + 81592^2 .

It is not a de Polignac number, because 8608685089 - 213 = 8608676897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8608685039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 117927157 + ... + 117927229.

Almost surely, 28608685089 is an apocalyptic number.

8608685089 is the 92783-rd square number.

8608685089 is the 46392-nd centered octagonal number.

It is an amenable number.

8608685089 is a deficient number, since it is larger than the sum of its proper divisors (635518328).

8608685089 is an frugal number, since it uses more digits than its factorization.

8608685089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 58.

The cubic root of 8608685089 is about 2049.4890726707.

The spelling of 8608685089 in words is "eight billion, six hundred eight million, six hundred eighty-five thousand, eighty-nine".

Divisors: 1 31 41 73 961 1271 1681 2263 2993 5329 39401 52111 70153 92783 122713 165199 218489 1615441 2876273 3804103 5121169 6773159 8958049 117927193 209967929 277699519 8608685089