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9918480384 = 220321051
BaseRepresentation
bin10010011110011000…
…00000000000000000
3221121020101000020100
421033030000000000
5130303112333014
64320111242400
7500534456301
oct111714000000
927536330210
109918480384
11422a7a612a
121b09819400
13c20b47507
146a13c27a8
153d0b59009
hex24f300000

9918480384 has 126 divisors (see below), whose sum is σ = 28680637076. Its totient is φ = 3303014400.

The previous prime is 9918480373. The next prime is 9918480389. The reversal of 9918480384 is 4830848199.

9918480384 is a `hidden beast` number, since 9 + 9 + 184 + 80 + 384 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9918480384.

It is not an unprimeable number, because it can be changed into a prime (9918480389) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9436659 + ... + 9437709.

Almost surely, 29918480384 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 9918480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14340318538).

9918480384 is an abundant number, since it is smaller than the sum of its proper divisors (18762156692).

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

9918480384 is an frugal number, since it uses more digits than its factorization.

9918480384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 9918480384 is about 99591.5678358364. The cubic root of 9918480384 is about 2148.5644199905.

The spelling of 9918480384 in words is "nine billion, nine hundred eighteen million, four hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1051 1152 1536 2048 2102 2304 3072 3153 4096 4204 4608 6144 6306 8192 8408 9216 9459 12288 12612 16384 16816 18432 18918 24576 25224 32768 33632 36864 37836 49152 50448 65536 67264 73728 75672 98304 100896 131072 134528 147456 151344 196608 201792 262144 269056 294912 302688 393216 403584 524288 538112 589824 605376 786432 807168 1048576 1076224 1179648 1210752 1572864 1614336 2152448 2359296 2421504 3145728 3228672 4304896 4718592 4843008 6457344 8609792 9437184 9686016 12914688 17219584 19372032 25829376 34439168 38744064 51658752 68878336 77488128 103317504 137756672 154976256 206635008 275513344 309952512 413270016 551026688 619905024 826540032 1102053376 1239810048 1653080064 2479620096 3306160128 4959240192 9918480384