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9216000000 = 2163256
BaseRepresentation
bin10001001010101000…
…10000000000000000
3212210021112022022100
420211110100000000
5122333244000000
64122254510400
7444244464444
oct104524200000
925707468270
109216000000
1139aa212229
121952505400
13b3b44a14c
14635da0824
1538e146a00
hex225510000

9216000000 has 357 divisors, whose sum is σ = 33279320113. Its totient is φ = 2457600000.

The previous prime is 9215999981. The next prime is 9216000011. The reversal of 9216000000 is 6129.

The square root of 9216000000 is 96000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 8074100736 + 1141899264 = 89856^2 + 33792^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1843199998 + ... + 1843200002.

Almost surely, 29216000000 is an apocalyptic number.

9216000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9216000000 is the 96000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9216000000

9216000000 is an abundant number, since it is smaller than the sum of its proper divisors (24063320113).

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

9216000000 is an frugal number, since it uses more digits than its factorization.

9216000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The cubic root of 9216000000 is about 2096.5931153671.

9216000000 divided by its sum of digits (18) gives a cube (512000000 = 8003).

Adding to 9216000000 its reverse (6129), we get a palindrome (9216006129).

The spelling of 9216000000 in words is "nine billion, two hundred sixteen million", and thus it is an aban number.