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9885052832 = 2517311394217
BaseRepresentation
bin10010011010011000…
…11110111110100000
3221111220110201020212
421031030132332200
5130221033142312
64312514553252
7466650364004
oct111514367640
927456421225
109885052832
114212944556
121aba598828
13c16c423b5
1469aba0704
153ccc54822
hex24d31efa0

9885052832 has 96 divisors (see below), whose sum is σ = 21428789760. Its totient is φ = 4468285440.

The previous prime is 9885052819. The next prime is 9885052943. The reversal of 9885052832 is 2382505889.

9885052832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2341988 + ... + 2346204.

It is an arithmetic number, because the mean of its divisors is an integer number (223216560).

Almost surely, 29885052832 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 9885052832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714394880).

9885052832 is an abundant number, since it is smaller than the sum of its proper divisors (11543736928).

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

9885052832 is a wasteful number, since it uses less digits than its factorization.

9885052832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 50.

The square root of 9885052832 is about 99423.6029924484. The cubic root of 9885052832 is about 2146.1479851406.

The spelling of 9885052832 in words is "nine billion, eight hundred eighty-five million, fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 139 248 272 278 496 527 544 556 992 1054 1112 2108 2224 2363 4216 4217 4309 4448 4726 8432 8434 8618 9452 16864 16868 17236 18904 33736 34472 37808 67472 68944 71689 73253 75616 130727 134944 137888 143378 146506 261454 286756 293012 522908 573512 586024 586163 1045816 1147024 1172048 1172326 2091632 2222359 2294048 2344096 2344652 4183264 4444718 4689304 8889436 9378608 9964771 17778872 18171053 18757216 19929542 35557744 36342106 39859084 71115488 72684212 79718168 145368424 159436336 290736848 308907901 318872672 581473696 617815802 1235631604 2471263208 4942526416 9885052832