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5665008128 = 2913851113
BaseRepresentation
bin1010100011010100…
…10010101000000000
3112121210201020012212
411101222102220000
543100220230003
62334044441252
7260245526453
oct52152225000
915553636185
105665008128
1124478274aa
121121249228
136c3868b20
143ba52b49a
15232515dd8
hex151a92a00

5665008128 has 40 divisors (see below), whose sum is σ = 12189654708. Its totient is φ = 2614616064.

The previous prime is 5665008127. The next prime is 5665008131. The reversal of 5665008128 is 8218005665.

It can be written as a sum of positive squares in 2 ways, for example, as 5353556224 + 311451904 = 73168^2 + 17648^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5665008127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 418901 + ... + 432212.

Almost surely, 25665008128 is an apocalyptic number.

It is an amenable number.

5665008128 is an abundant number, since it is smaller than the sum of its proper divisors (6524646580).

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

5665008128 is an equidigital number, since it uses as much as digits as its factorization.

5665008128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851144 (or 851128 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 5665008128 is about 75266.2482657399. The cubic root of 5665008128 is about 1782.6531288735.

The spelling of 5665008128 in words is "five billion, six hundred sixty-five million, eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 851113 1702226 3404452 6808904 11064469 13617808 22128938 27235616 44257876 54471232 88515752 108942464 177031504 217884928 354063008 435769856 708126016 1416252032 2832504064 5665008128