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9889630912 = 267312273137
BaseRepresentation
bin10010011010111011…
…11100101011000000
3221112020002022012101
421031131330223000
5130223221142122
64313201040144
7500034322120
oct111535745300
927466068171
109889630912
114215491097
121b00026054
13c17b86115
1469b632c80
153cd35b027
hex24d77cac0

9889630912 has 112 divisors (see below), whose sum is σ = 23261165568. Its totient is φ = 4082319360.

The previous prime is 9889630889. The next prime is 9889630921. The reversal of 9889630912 is 2190369889.

9889630912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 3151008 + ... + 3154144.

Almost surely, 29889630912 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 9889630912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11630582784).

9889630912 is an abundant number, since it is smaller than the sum of its proper divisors (13371534656).

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

9889630912 is a wasteful number, since it uses less digits than its factorization.

9889630912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 55.

The square root of 9889630912 is about 99446.6234318692. The cubic root of 9889630912 is about 2146.4792502986.

The spelling of 9889630912 in words is "nine billion, eight hundred eighty-nine million, six hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 227 248 434 448 454 496 868 908 992 1589 1736 1816 1984 3137 3178 3472 3632 6274 6356 6944 7037 7264 12548 12712 13888 14074 14528 21959 25096 25424 28148 43918 49259 50192 50848 56296 87836 97247 98518 100384 101696 112592 175672 194494 197036 200768 225184 351344 388988 394072 450368 680729 702688 712099 777976 788144 1361458 1405376 1424198 1555952 1576288 2722916 2848396 3111904 3152576 4984693 5445832 5696792 6223808 9969386 10891664 11393584 19938772 21783328 22075069 22787168 39877544 43566656 44150138 45574336 79755088 88300276 154525483 159510176 176600552 309050966 319020352 353201104 618101932 706402208 1236203864 1412804416 2472407728 4944815456 9889630912