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34163445645 = 3257569190607
BaseRepresentation
bin11111110100010011…
…001100111110001101
310021011220112212002200
4133310103030332031
51024431320230040
623410001112113
72316413332230
oct376423147615
9107156485080
1034163445645
11135414133aa
126755328639
1332b5b126c4
141921387417
15d4e3d7630
hex7f44ccf8d

34163445645 has 48 divisors (see below), whose sum is σ = 67795453440. Its totient is φ = 15590045952.

The previous prime is 34163445553. The next prime is 34163445709. The reversal of 34163445645 is 54654436143.

34163445645 is a `hidden beast` number, since 3 + 4 + 1 + 634 + 4 + 5 + 6 + 4 + 5 = 666.

It is not a de Polignac number, because 34163445645 - 210 = 34163444621 is a prime.

It is a super-3 number, since 3×341634456453 (a number of 33 digits) contains 333 as substring.

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 34163445645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83932 + ... + 274538.

It is an arithmetic number, because the mean of its divisors is an integer number (1412405280).

Almost surely, 234163445645 is an apocalyptic number.

34163445645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34163445645 is a deficient number, since it is larger than the sum of its proper divisors (33632007795).

34163445645 is a wasteful number, since it uses less digits than its factorization.

34163445645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191194 (or 191191 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 34163445645 in words is "thirty-four billion, one hundred sixty-three million, four hundred forty-five thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 569 1707 2845 3983 5121 8535 11949 19915 25605 35847 59745 179235 190607 571821 953035 1334249 1715463 2859105 4002747 6671245 8577315 12008241 20013735 60041205 108455383 325366149 542276915 759187681 976098447 1626830745 2277563043 3795938405 4880492235 6832689129 11387815215 34163445645