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4415738085 = 34511991187
BaseRepresentation
bin1000001110011001…
…01101000011100101
3102101201222201220000
410013030231003211
533020412104320
62010100331513
7214266103653
oct40714550345
912351881800
104415738085
111966629420
12a329a3b99
13554ab3595
142dc653dd3
151ac9e6c90
hex10732d0e5

4415738085 has 40 divisors (see below), whose sum is σ = 8635229856. Its totient is φ = 2140961760.

The previous prime is 4415738077. The next prime is 4415738087. The reversal of 4415738085 is 5808375144.

4415738085 is a `hidden beast` number, since 44 + 157 + 380 + 85 = 666.

It is not a de Polignac number, because 4415738085 - 23 = 4415738077 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4415738085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415738087) 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, 491139 + ... + 500048.

Almost surely, 24415738085 is an apocalyptic number.

4415738085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4415738085 is a deficient number, since it is larger than the sum of its proper divisors (4219491771).

4415738085 is a wasteful number, since it uses less digits than its factorization.

4415738085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991215 (or 991206 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 4415738085 is about 66451.0201953288. The cubic root of 4415738085 is about 1640.5939358037.

The spelling of 4415738085 in words is "four billion, four hundred fifteen million, seven hundred thirty-eight thousand, eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 891 1485 4455 991187 2973561 4955935 8920683 10903057 14867805 26762049 32709171 44603415 54515285 80286147 98127513 133810245 163545855 294382539 401430735 490637565 883147617 1471912695 4415738085