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25768522368 = 273225787037
BaseRepresentation
bin10111111111111011…
…000111001010000000
32110111212000120022100
4113333323013022000
5410233220203433
615500552510400
71601365553241
oct277773071200
973455016270
1025768522368
11aa23728286
124bb19ab400
132578817994
14136647acc8
15a0c3ccb13
hex5ffec7280

25768522368 has 96 divisors (see below), whose sum is σ = 74440990260. Its totient is φ = 8555986944.

The previous prime is 25768522363. The next prime is 25768522379. The reversal of 25768522368 is 86322586752.

It is a happy number.

25768522368 is a `hidden beast` number, since 2 + 57 + 6 + 8 + 522 + 3 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25725593664 + 42928704 = 160392^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (25768522363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252546 + ... + 339582.

Almost surely, 225768522368 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 25768522368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37220495130).

25768522368 is an abundant number, since it is smaller than the sum of its proper divisors (48672467892).

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

25768522368 is a wasteful number, since it uses less digits than its factorization.

25768522368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87314 (or 87299 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 25768522368 in words is "twenty-five billion, seven hundred sixty-eight million, five hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 257 288 384 514 576 771 1028 1152 1542 2056 2313 3084 4112 4626 6168 8224 9252 12336 16448 18504 24672 32896 37008 49344 74016 87037 98688 148032 174074 261111 296064 348148 522222 696296 783333 1044444 1392592 1566666 2088888 2785184 3133332 4177776 5570368 6266664 8355552 11140736 12533328 16711104 22368509 25066656 33422208 44737018 50133312 67105527 89474036 100266624 134211054 178948072 201316581 268422108 357896144 402633162 536844216 715792288 805266324 1073688432 1431584576 1610532648 2147376864 2863169152 3221065296 4294753728 6442130592 8589507456 12884261184 25768522368