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8971310089 = 7419332
BaseRepresentation
bin10000101101011101…
…10101010000001001
3212011020002202212001
420112232311100021
5121333123410324
64042114151001
7435213610000
oct102656652011
925136082761
108971310089
113894086065
1218a4582461
13acc846711
146116a7c37
15377910e44
hex216bb5409

8971310089 has 15 divisors (see below), whose sum is σ = 10471322823. Its totient is φ = 7685716248.

The previous prime is 8971310041. The next prime is 8971310119. The reversal of 8971310089 is 9800131798.

The square root of 8971310089 is 94717.

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

It can be written as a sum of positive squares in only one way, i.e., 6108204025 + 2863106064 = 78155^2 + 53508^2 .

It is not a de Polignac number, because 8971310089 - 211 = 8971308041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8971310189) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4640167 + ... + 4642099.

Almost surely, 28971310089 is an apocalyptic number.

8971310089 is the 94717-th square number.

8971310089 is the 47359-th centered octagonal number.

It is an amenable number.

8971310089 is a deficient number, since it is larger than the sum of its proper divisors (1500012734).

8971310089 is an frugal number, since it uses more digits than its factorization.

8971310089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 46.

The cubic root of 8971310089 is about 2077.8711954636.

The spelling of 8971310089 in words is "eight billion, nine hundred seventy-one million, three hundred ten thousand, eighty-nine".

Divisors: 1 7 49 343 1933 2401 13531 94717 663019 3736489 4641133 26155423 183087961 1281615727 8971310089