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8573613138 = 2323719366701
BaseRepresentation
bin1111111110000011…
…01111010001010010
3211010111202200012100
413333001233101102
5120024321110023
63534430141230
7422314336446
oct77701572122
924114680170
108573613138
1136aa6434a2
1217b3351816
13a6833048c
145b4942826
15352a54c43
hex1ff06f452

8573613138 has 48 divisors (see below), whose sum is σ = 19177358616. Its totient is φ = 2766182400.

The previous prime is 8573613133. The next prime is 8573613161. The reversal of 8573613138 is 8313163758.

8573613138 is a `hidden beast` number, since 8 + 573 + 61 + 3 + 13 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7192227249 + 1381385889 = 84807^2 + 37167^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8573613093 and 8573613102.

It is not an unprimeable number, because it can be changed into a prime (8573613133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95188 + ... + 161888.

Almost surely, 28573613138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8573613138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9588679308).

8573613138 is an abundant number, since it is smaller than the sum of its proper divisors (10603745478).

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

8573613138 is a wasteful number, since it uses less digits than its factorization.

8573613138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66939 (or 66936 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 8573613138 is about 92593.8072335294. The cubic root of 8573613138 is about 2046.7020649741.

The spelling of 8573613138 in words is "eight billion, five hundred seventy-three million, six hundred thirteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 193 222 333 386 579 666 1158 1737 3474 7141 14282 21423 42846 64269 66701 128538 133402 200103 400206 600309 1200618 2467937 4935874 7403811 12873293 14807622 22211433 25746586 38619879 44422866 77239758 115859637 231719274 476311841 952623682 1428935523 2857871046 4286806569 8573613138