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23166970849 = 11210121372
BaseRepresentation
bin10101100100110110…
…111110101111100001
32012210112202001112101
4111210312332233201
5334421221031344
614350500330401
71450046001031
oct254466765741
965715661471
1023166970849
119909173100
1245a66a3a01
132252850799
14119ab538c1
15908ce29d4
hex564dbebe1

23166970849 has 27 divisors (see below), whose sum is σ = 25908243193. Its totient is φ = 20700152000.

The previous prime is 23166970817. The next prime is 23166970867. The reversal of 23166970849 is 94807966132.

The square root of 23166970849 is 152207.

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 9022150225 + 14144820624 = 94985^2 + 118932^2 .

It is not a de Polignac number, because 23166970849 - 25 = 23166970817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23166970849.

It is not an unprimeable number, because it can be changed into a prime (23166070849) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 169101909 + ... + 169102045.

Almost surely, 223166970849 is an apocalyptic number.

23166970849 is the 152207-th square number.

23166970849 is the 76104-th centered octagonal number.

It is an amenable number.

23166970849 is a deficient number, since it is larger than the sum of its proper divisors (2741272344).

23166970849 is an equidigital number, since it uses as much as digits as its factorization.

23166970849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 23166970849 in words is "twenty-three billion, one hundred sixty-six million, nine hundred seventy thousand, eight hundred forty-nine".

Divisors: 1 11 101 121 137 1111 1507 10201 12221 13837 16577 18769 112211 152207 206459 1234321 1397537 1674277 1895669 2271049 15372907 20852359 169101977 191462569 229375949 2106088259 23166970849