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8419394016 = 253511257383
BaseRepresentation
bin1111101011101010…
…11100000111100000
3210201202120112100000
413311311130013200
5114220331102031
63511240500000
7415432445145
oct76565340740
923652515300
108419394016
11363058a380
12176b77a600
13a423b5067
1459c27a3cc
153442403e6
hex1f5d5c1e0

8419394016 has 288 divisors, whose sum is σ = 27263029248. Its totient is φ = 2534768640.

The previous prime is 8419394003. The next prime is 8419394051. The reversal of 8419394016 is 6104939148.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21982561 + ... + 21982943.

It is an arithmetic number, because the mean of its divisors is an integer number (94663296).

Almost surely, 28419394016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8419394016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631514624).

8419394016 is an abundant number, since it is smaller than the sum of its proper divisors (18843635232).

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

8419394016 is a wasteful number, since it uses less digits than its factorization.

8419394016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 8419394016 is about 91757.2559310707. The cubic root of 8419394016 is about 2034.3559561852.

The spelling of 8419394016 in words is "eight billion, four hundred nineteen million, three hundred ninety-four thousand, sixteen".