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9484231680 = 2103757112
BaseRepresentation
bin10001101010100110…
…11110010000000000
3220110222020220000000
420311103132100000
5123410430403210
64205040000000
7454012432140
oct106523362000
926428226000
109484231680
114027668700
121a08300000
13b81ba4111
1465d864920
153a797cac0
hex2354de400

9484231680 has 1056 divisors, whose sum is σ = 42863197440. Its totient is φ = 1970749440.

The previous prime is 9484231663. The next prime is 9484231703. The reversal of 9484231680 is 861324849.

It is a happy number.

9484231680 is a `hidden beast` number, since 9 + 484 + 2 + 3 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 862202875 + ... + 862202885.

Almost surely, 29484231680 is an apocalyptic number.

9484231680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9484231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21431598720).

9484231680 is an abundant number, since it is smaller than the sum of its proper divisors (33378965760).

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

9484231680 is an equidigital number, since it uses as much as digits as its factorization.

9484231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 9484231680 is about 97387.0200796800. The cubic root of 9484231680 is about 2116.7393568633.

The spelling of 9484231680 in words is "nine billion, four hundred eighty-four million, two hundred thirty-one thousand, six hundred eighty".