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4412148165 = 34579713669
BaseRepresentation
bin1000001101111110…
…00000100111000101
3102101111020100110000
410012333000213011
533014002220130
62005451351513
7214223432505
oct40677004705
912344210400
104412148165
1119645a7247
12a31752599
13554127579
142dbd9ba05
151ac538260
hex106fc09c5

4412148165 has 40 divisors (see below), whose sum is σ = 7919687160. Its totient is φ = 2350021248.

The previous prime is 4412148163. The next prime is 4412148179. The reversal of 4412148165 is 5618412144.

It can be written as a sum of positive squares in 4 ways, for example, as 825815169 + 3586332996 = 28737^2 + 59886^2 .

It is not a de Polignac number, because 4412148165 - 21 = 4412148163 is a prime.

It is a super-3 number, since 3×44121481653 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412148161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 315951 + ... + 329619.

It is an arithmetic number, because the mean of its divisors is an integer number (197992179).

Almost surely, 24412148165 is an apocalyptic number.

4412148165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4412148165 is a deficient number, since it is larger than the sum of its proper divisors (3507538995).

4412148165 is a wasteful number, since it uses less digits than its factorization.

4412148165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14483 (or 14474 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 4412148165 is about 66424.0029281584. The cubic root of 4412148165 is about 1640.1492236069.

The spelling of 4412148165 in words is "four billion, four hundred twelve million, one hundred forty-eight thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 797 2391 3985 7173 11955 13669 21519 35865 41007 64557 68345 107595 123021 205035 322785 369063 615105 1107189 1845315 5535945 10894193 32682579 54470965 98047737 163412895 294143211 490238685 882429633 1470716055 4412148165