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25608320676 = 223214921792
BaseRepresentation
bin10111110110010111…
…111111011010100100
32110002200120110220100
4113312113333122210
5404421212230201
615433031104100
71564412064021
oct276627773244
973080513810
1025608320676
11a951258394
124b68212030
132551586493
14134d098548
159ed2d5886
hex5f65ff6a4

25608320676 has 81 divisors (see below), whose sum is σ = 65535612961. Its totient is φ = 8431449888.

The previous prime is 25608320671. The next prime is 25608320729. The reversal of 25608320676 is 67602380652.

It is a happy number.

The square root of 25608320676 is 160026.

It is a perfect power (a square), and thus also a powerful number.

25608320676 is a `hidden beast` number, since 2 + 5 + 608 + 32 + 0 + 6 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3000191076 + 22608129600 = 54774^2 + 150360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25608320671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143063155 + ... + 143063333.

Almost surely, 225608320676 is an apocalyptic number.

25608320676 is the 160026-th square number.

It is an amenable number.

25608320676 is an abundant number, since it is smaller than the sum of its proper divisors (39927292285).

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

25608320676 is a wasteful number, since it uses less digits than its factorization.

25608320676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 25608320676 in words is "twenty-five billion, six hundred eight million, three hundred twenty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 149 179 298 358 447 537 596 716 894 1074 1341 1611 1788 2148 2682 3222 5364 6444 22201 26671 32041 44402 53342 64082 66603 80013 88804 96123 106684 128164 133206 160026 192246 199809 240039 266412 288369 320052 384492 399618 480078 576738 799236 960156 1153476 3973979 4774109 7947958 9548218 11921937 14322327 15895916 19096436 23843874 28644654 35765811 42966981 47687748 57289308 71531622 85933962 143063244 171867924 711342241 1422684482 2134026723 2845368964 4268053446 6402080169 8536106892 12804160338 25608320676