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9495917809 = 72139212
BaseRepresentation
bin10001101100000000…
…00011010011110001
3220111210020121100121
420312000003103301
5123421423332214
64210134250241
7454213653400
oct106600032361
926453217317
109495917809
11403321a664
121a101b6981
13b844362a1
14661227637
153a89da424
hex2360034f1

9495917809 has 9 divisors (see below), whose sum is σ = 11047065291. Its totient is φ = 8138773440.

The previous prime is 9495917807. The next prime is 9495917813. The reversal of 9495917809 is 9087195949.

The square root of 9495917809 is 97447.

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., 5632052209 + 3863865600 = 75047^2 + 62160^2 .

It is not a de Polignac number, because 9495917809 - 21 = 9495917807 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9495917807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 675169 + ... + 689089.

It is an arithmetic number, because the mean of its divisors is an integer number (1227451699).

Almost surely, 29495917809 is an apocalyptic number.

9495917809 is the 97447-th square number.

9495917809 is the 48724-th centered octagonal number.

It is an amenable number.

9495917809 is a deficient number, since it is larger than the sum of its proper divisors (1551147482).

9495917809 is an frugal number, since it uses more digits than its factorization.

9495917809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27856 (or 13928 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 61.

The cubic root of 9495917809 is about 2117.6083900531.

The spelling of 9495917809 in words is "nine billion, four hundred ninety-five million, nine hundred seventeen thousand, eight hundred nine".

Divisors: 1 7 49 13921 97447 682129 193794241 1356559687 9495917809