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8326113120 = 253651317219
BaseRepresentation
bin1111100000100011…
…00110011101100000
3210111021001101000000
413300101212131200
5114022441104440
63454105300000
7413220536163
oct76021463540
923437041000
108326113120
113592968026
121744494600
13a28c84970
1458db17ada
1533ae66730
hex1f0466760

8326113120 has 1008 divisors, whose sum is σ = 35514717840. Its totient is φ = 1827422208.

The previous prime is 8326113119. The next prime is 8326113127. The reversal of 8326113120 is 213116238.

It is a happy number.

8326113120 is a `hidden beast` number, since 8 + 32 + 611 + 3 + 12 + 0 = 666.

It is a super-2 number, since 2×83261131202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8326113127) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 438216471 + ... + 438216489.

It is an arithmetic number, because the mean of its divisors is an integer number (35232855).

Almost surely, 28326113120 is an apocalyptic number.

8326113120 is a gapful number since it is divisible by the number (80) 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 8326113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757358920).

8326113120 is an abundant number, since it is smaller than the sum of its proper divisors (27188604720).

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

8326113120 is a wasteful number, since it uses less digits than its factorization.

8326113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8326113120 is about 91247.5376106117. The cubic root of 8326113120 is about 2026.8149653909.

Adding to 8326113120 its reverse (213116238), we get a palindrome (8539229358).

The spelling of 8326113120 in words is "eight billion, three hundred twenty-six million, one hundred thirteen thousand, one hundred twenty".