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8605105056 = 253261489817
BaseRepresentation
bin10000000001110011…
…10111101110100000
3211012201000121222200
420000321313232200
5120110401330211
63541513133200
7423146120562
oct100071675640
924181017880
108605105056
1137163a2879
1218019ba200
13a71a08552
145b8bbd332
153556c5b56
hex200e77ba0

8605105056 has 72 divisors (see below), whose sum is σ = 24871978404. Its totient is φ = 2821340160.

The previous prime is 8605105021. The next prime is 8605105057. The reversal of 8605105056 is 6505015068.

It can be written as a sum of positive squares in 2 ways, for example, as 5889027600 + 2716077456 = 76740^2 + 52116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8605105056.

It is not an unprimeable number, because it can be changed into a prime (8605105057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227341 + ... + 262476.

Almost surely, 28605105056 is an apocalyptic number.

It is an amenable number.

8605105056 is an abundant number, since it is smaller than the sum of its proper divisors (16266873348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8605105056 is a wasteful number, since it uses less digits than its factorization.

8605105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489894 (or 489883 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 8605105056 is about 92763.7054887309. The cubic root of 8605105056 is about 2049.2049311025.

The spelling of 8605105056 in words is "eight billion, six hundred five million, one hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 489817 979634 1469451 1959268 2938902 3918536 4408353 5877804 7837072 8816706 11755608 15674144 17633412 23511216 29878837 35266824 47022432 59757674 70533648 89636511 119515348 141067296 179273022 239030696 268909533 358546044 478061392 537819066 717092088 956122784 1075638132 1434184176 2151276264 2868368352 4302552528 8605105056