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2986316424 = 233671317331
BaseRepresentation
bin1011000111111111…
…1001001010001000
321201010021121000000
42301333321022020
522103444111144
61212155043000
7134001161610
oct26177711210
97633247000
102986316424
1112a2774803
126b4140460
13387903150
14204883a40
1512728e769
hexb1ff9288

2986316424 has 448 divisors, whose sum is σ = 10973370240. Its totient is φ = 739031040.

The previous prime is 2986316423. The next prime is 2986316453. The reversal of 2986316424 is 4246136892.

2986316424 is a `hidden beast` number, since 2 + 9 + 8 + 631 + 6 + 4 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2986316424.

It is not an unprimeable number, because it can be changed into a prime (2986316423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9021939 + ... + 9022269.

It is an arithmetic number, because the mean of its divisors is an integer number (24494130).

Almost surely, 22986316424 is an apocalyptic number.

2986316424 is a gapful number since it is divisible by the number (24) 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 2986316424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486685120).

2986316424 is an abundant number, since it is smaller than the sum of its proper divisors (7987053816).

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

2986316424 is a wasteful number, since it uses less digits than its factorization.

2986316424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 373 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2986316424 is about 54647.1995988816. The cubic root of 2986316424 is about 1440.0534355171.

The spelling of 2986316424 in words is "two billion, nine hundred eighty-six million, three hundred sixteen thousand, four hundred twenty-four".