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9988946912 = 2571918112967
BaseRepresentation
bin10010100110110001…
…10011101111100000
3221210010222002010202
421103120303233200
5130424132300122
64331105444332
7502351435130
oct112330635740
927703862122
109988946912
11426655572a
121b293406a8
13c3261a499
146aa8c6ac0
153d6e27e92
hex253633be0

9988946912 has 96 divisors (see below), whose sum is σ = 23790574080. Its totient is φ = 4032944640.

The previous prime is 9988946899. The next prime is 9988946939. The reversal of 9988946912 is 2196498899.

9988946912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 763853 + ... + 776819.

It is an arithmetic number, because the mean of its divisors is an integer number (247818480).

Almost surely, 29988946912 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 9988946912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11895287040).

9988946912 is an abundant number, since it is smaller than the sum of its proper divisors (13801627168).

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

9988946912 is a wasteful number, since it uses less digits than its factorization.

9988946912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13184 (or 13176 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 65.

The square root of 9988946912 is about 99944.7192802101. The cubic root of 9988946912 is about 2153.6406255238.

The spelling of 9988946912 in words is "nine billion, nine hundred eighty-eight million, nine hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 181 224 266 304 362 532 608 724 1064 1267 1448 2128 2534 2896 3439 4256 5068 5792 6878 10136 12967 13756 20272 24073 25934 27512 40544 48146 51868 55024 90769 96292 103736 110048 181538 192584 207472 246373 363076 385168 414944 492746 726152 770336 985492 1452304 1724611 1970984 2347027 2904608 3449222 3941968 4694054 6898444 7883936 9388108 13796888 16429189 18776216 27593776 32858378 37552432 44593513 55187552 65716756 75104864 89187026 131433512 178374052 262867024 312154591 356748104 525734048 624309182 713496208 1248618364 1426992416 2497236728 4994473456 9988946912