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25168553316 = 223213721932
BaseRepresentation
bin10111011100001010…
…011010010101100100
32101222001001222111100
4113130022122111210
5403021122201231
615321241240100
71550462113314
oct273412322544
971861058440
1025168553316
11a745aa0695
124a64a93030
1324b14301ca
14130a901444
159c48b91e6
hex5dc29a564

25168553316 has 81 divisors (see below), whose sum is σ = 64422066891. Its totient is φ = 8285128704.

The previous prime is 25168553309. The next prime is 25168553323. The reversal of 25168553316 is 61335586152.

The square root of 25168553316 is 158646.

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

25168553316 is a `hidden beast` number, since 2 + 5 + 1 + 68 + 553 + 31 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (25168553309) and next prime (25168553323).

It can be written as a sum of positive squares in 4 ways, for example, as 832553316 + 24336000000 = 28854^2 + 156000^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130406916 + ... + 130407108.

Almost surely, 225168553316 is an apocalyptic number.

25168553316 is the 158646-th square number.

It is an amenable number.

25168553316 is an abundant number, since it is smaller than the sum of its proper divisors (39253513575).

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

25168553316 is a wasteful number, since it uses less digits than its factorization.

25168553316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 25168553316 in words is "twenty-five billion, one hundred sixty-eight million, five hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 137 193 274 386 411 548 579 772 822 1158 1233 1644 1737 2316 2466 3474 4932 6948 18769 26441 37249 37538 52882 56307 74498 75076 79323 105764 111747 112614 148996 158646 168921 223494 225228 237969 317292 335241 337842 446988 475938 670482 675684 951876 1340964 3622417 5103113 7244834 10206226 10867251 14489668 15309339 20412452 21734502 30618678 32601753 43469004 45928017 61237356 65203506 91856034 130407012 183712068 699126481 1398252962 2097379443 2796505924 4194758886 6292138329 8389517772 12584276658 25168553316