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8006416229 = 71688967723
BaseRepresentation
bin1110111010011100…
…00011011101100101
3202122222111002022102
413131032003131211
5112344120304404
63402245141445
7402256262240
oct73516033545
922588432272
108006416229
113439460019
1216753ba885
139a797b6c6
1455d498257
1531cd6671e
hex1dd383765

8006416229 has 8 divisors (see below), whose sum is σ = 9150866880. Its totient is φ = 6862134816.

The previous prime is 8006416189. The next prime is 8006416247. The reversal of 8006416229 is 9226146008.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8006416229 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8006416192 and 8006416201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006416259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84362 + ... + 152084.

It is an arithmetic number, because the mean of its divisors is an integer number (1143858360).

Almost surely, 28006416229 is an apocalyptic number.

It is an amenable number.

8006416229 is a deficient number, since it is larger than the sum of its proper divisors (1144450651).

8006416229 is a wasteful number, since it uses less digits than its factorization.

8006416229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84619.

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 8006416229 is about 89478.5797216295. The cubic root of 8006416229 is about 2000.5345428692.

The spelling of 8006416229 in words is "eight billion, six million, four hundred sixteen thousand, two hundred twenty-nine".

Divisors: 1 7 16889 67723 118223 474061 1143773747 8006416229