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9885985900 = 2252726353699
BaseRepresentation
bin10010011010100000…
…00010110001101100
3221111222020010011221
421031100002301230
5130221303022100
64312550553124
7466661331220
oct111520026154
927458203157
109885985900
11421342158a
121aba9687a4
13c171aaccb
1469ad64780
153ccd8b01a
hex24d402c6c

9885985900 has 72 divisors (see below), whose sum is σ = 24610924800. Its totient is φ = 3376530240.

The previous prime is 9885985883. The next prime is 9885985919. The reversal of 9885985900 is 95895889.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157251 + ... + 210949.

It is an arithmetic number, because the mean of its divisors is an integer number (341818400).

Almost surely, 29885985900 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 9885985900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12305462400).

9885985900 is an abundant number, since it is smaller than the sum of its proper divisors (14724938900).

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

9885985900 is a wasteful number, since it uses less digits than its factorization.

9885985900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53983 (or 53976 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 61.

The square root of 9885985900 is about 99428.2952684999. The cubic root of 9885985900 is about 2146.2155092783.

The spelling of 9885985900 in words is "nine billion, eight hundred eighty-five million, nine hundred eighty-five thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 263 350 526 700 1052 1315 1841 2630 3682 5260 6575 7364 9205 13150 18410 26300 36820 46025 53699 92050 107398 184100 214796 268495 375893 536990 751786 1073980 1342475 1503572 1879465 2684950 3758930 5369900 7517860 9397325 14122837 18794650 28245674 37589300 56491348 70614185 98859859 141228370 197719718 282456740 353070925 395439436 494299295 706141850 988598590 1412283700 1977197180 2471496475 4942992950 9885985900