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5685182676 = 22326116092
BaseRepresentation
bin1010100101101110…
…10000000011010100
3112200012200012111100
411102313100003110
543120401321201
62340045110100
7260612153415
oct52267200324
915605605440
105685182676
112458156988
121127b58330
136c7ab0824
143bd09d80c
1523419d886
hex152dd00d4

5685182676 has 54 divisors (see below), whose sum is σ = 14615550222. Its totient is φ = 1862835840.

The previous prime is 5685182639. The next prime is 5685182759. The reversal of 5685182676 is 6762815865.

5685182676 is a `hidden beast` number, since 5 + 68 + 518 + 2 + 67 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2507605776 + 3177576900 = 50076^2 + 56370^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3532560 + ... + 3534168.

Almost surely, 25685182676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5685182676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307775111).

5685182676 is an abundant number, since it is smaller than the sum of its proper divisors (8930367546).

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

5685182676 is a wasteful number, since it uses less digits than its factorization.

5685182676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 1675 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 5685182676 is about 75400.1503712028. The cubic root of 5685182676 is about 1784.7667835505.

The spelling of 5685182676 in words is "five billion, six hundred eighty-five million, one hundred eighty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 1609 2196 3218 4827 6436 9654 14481 19308 28962 57924 98149 196298 294447 392596 588894 883341 1177788 1766682 2588881 3533364 5177762 7766643 10355524 15533286 23299929 31066572 46599858 93199716 157921741 315843482 473765223 631686964 947530446 1421295669 1895060892 2842591338 5685182676