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9688087296 = 2835179161
BaseRepresentation
bin10010000010111010…
…00111101100000000
3221000011211211100000
421001131013230000
5124320122243141
64241201200000
7462036245316
oct110135075400
927004754300
109688087296
114121744418
121a64630000
13bb51ab344
1467c96c0b6
153ba7e95b6
hex241747b00

9688087296 has 216 divisors, whose sum is σ = 30675035664. Its totient is φ = 3039068160.

The previous prime is 9688087291. The next prime is 9688087307. The reversal of 9688087296 is 6927808869.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (9688087291) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1052956 + ... + 1062116.

It is an arithmetic number, because the mean of its divisors is an integer number (142014054).

Almost surely, 29688087296 is an apocalyptic number.

9688087296 is a gapful number since it is divisible by the number (96) 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 9688087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337517832).

9688087296 is an abundant number, since it is smaller than the sum of its proper divisors (20986948368).

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

9688087296 is an equidigital number, since it uses as much as digits as its factorization.

9688087296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The square root of 9688087296 is about 98428.0818465950. The cubic root of 9688087296 is about 2131.7978235231.

The spelling of 9688087296 in words is "nine billion, six hundred eighty-eight million, eighty-seven thousand, two hundred ninety-six".