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12825551808 = 263217277047
BaseRepresentation
bin10111111000111011…
…00110001111000000
31020002211112112112100
423330131212033000
5202231320124213
65520400030400
7632554251216
oct137435461700
936084475470
1012825551808
1154917649a3
12259b302400
1312951c2b14
14899518cb6
15500e93773
hex2fc7663c0

12825551808 has 126 divisors (see below), whose sum is σ = 39052318136. Its totient is φ = 4023650304.

The previous prime is 12825551797. The next prime is 12825551831. The reversal of 12825551808 is 80815552821.

12825551808 is a `hidden beast` number, since 1 + 2 + 82 + 55 + 518 + 0 + 8 = 666.

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, 127941 + ... + 204987.

Almost surely, 212825551808 is an apocalyptic number.

12825551808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12825551808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19526159068).

12825551808 is an abundant number, since it is smaller than the sum of its proper divisors (26226766328).

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

12825551808 is a wasteful number, since it uses less digits than its factorization.

12825551808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77099 (or 77069 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The spelling of 12825551808 in words is "twelve billion, eight hundred twenty-five million, five hundred fifty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 289 306 408 544 576 578 612 816 867 1088 1156 1224 1632 1734 2312 2448 2601 3264 3468 4624 4896 5202 6936 9248 9792 10404 13872 18496 20808 27744 41616 55488 77047 83232 154094 166464 231141 308188 462282 616376 693423 924564 1232752 1309799 1386846 1849128 2465504 2619598 2773692 3698256 3929397 4931008 5239196 5547384 7396512 7858794 10478392 11094768 11788191 14793024 15717588 20956784 22189536 22266583 23576382 31435176 41913568 44379072 44533166 47152764 62870352 66799749 83827136 89066332 94305528 125740704 133599498 178132664 188611056 200399247 251481408 267198996 356265328 377222112 400798494 534397992 712530656 754444224 801596988 1068795984 1425061312 1603193976 2137591968 3206387952 4275183936 6412775904 12825551808