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8294400000 = 2153455
BaseRepresentation
bin1111011100110001…
…01000000000000000
3210102001101011210000
413232120220000000
5113441331300000
63451013440000
7412354144125
oct75630500000
923361334700
108294400000
113576a77537
121735940000
13a2252ccc3
1458982074c
153382a0000
hex1ee628000

8294400000 has 480 divisors, whose sum is σ = 30973544910. Its totient is φ = 2211840000.

The previous prime is 8294399987. The next prime is 8294400007. The reversal of 8294400000 is 44928.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 11943936 + 8282456064 = 3456^2 + 91008^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (8294400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1658879998 + ... + 1658880002.

Almost surely, 28294400000 is an apocalyptic number.

8294400000 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 8294400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15486772455).

8294400000 is an abundant number, since it is smaller than the sum of its proper divisors (22679144910).

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

8294400000 is an frugal number, since it uses more digits than its factorization.

8294400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8294400000 is about 91073.5966128493. The cubic root of 8294400000 is about 2024.2383967242.

Adding to 8294400000 its reverse (44928), we get a palindrome (8294444928).

The spelling of 8294400000 in words is "eight billion, two hundred ninety-four million, four hundred thousand".