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9899808288 = 2531722391493
BaseRepresentation
bin10010011100001001…
…10001011000100000
3221112221020100221020
421032010301120200
5130233322331123
64314203125440
7500216660556
oct111604613040
927487210836
109899808288
114220202547
121b03513880
13c1a00a636
1469cb21bd6
153ce1bb7e3
hex24e131620

9899808288 has 144 divisors (see below), whose sum is σ = 27739635840. Its totient is φ = 3090755584.

The previous prime is 9899808283. The next prime is 9899808307. The reversal of 9899808288 is 8828089989.

It is not an unprimeable number, because it can be changed into a prime (9899808283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6630070 + ... + 6631562.

It is an arithmetic number, because the mean of its divisors is an integer number (192636360).

Almost surely, 29899808288 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 9899808288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869817920).

9899808288 is an abundant number, since it is smaller than the sum of its proper divisors (17839827552).

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

9899808288 is a wasteful number, since it uses less digits than its factorization.

9899808288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 69.

The square root of 9899808288 is about 99497.7803169498. The cubic root of 9899808288 is about 2147.2153086736.

The spelling of 9899808288 in words is "nine billion, eight hundred ninety-nine million, eight hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 239 272 289 408 478 544 578 717 816 867 956 1156 1434 1493 1632 1734 1912 2312 2868 2986 3468 3824 4063 4479 4624 5736 5972 6936 7648 8126 8958 9248 11472 11944 12189 13872 16252 17916 22944 23888 24378 25381 27744 32504 35832 47776 48756 50762 65008 69071 71664 76143 97512 101524 130016 138142 143328 152286 195024 203048 207213 276284 304572 356827 390048 406096 414426 431477 552568 609144 713654 812192 828852 862954 1070481 1105136 1218288 1294431 1427308 1657704 1725908 2140962 2210272 2436576 2588862 2854616 3315408 3451816 4281924 5177724 5709232 6066059 6630816 6903632 8563848 10355448 11418464 12132118 13807264 17127696 18198177 20710896 24264236 34255392 36396354 41421792 48528472 72792708 97056944 103123003 145585416 194113888 206246006 291170832 309369009 412492012 582341664 618738018 824984024 1237476036 1649968048 2474952072 3299936096 4949904144 9899808288