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2014318848 = 28317415371
BaseRepresentation
bin111100000010000…
…0001000100000000
312012101021222222210
41320010001010000
513111131200343
6531513502120
7100626266463
oct17004010400
95171258883
102014318848
11944037623
12482711940
1326141b959
141517452da
15bbc90333
hex78101100

2014318848 has 288 divisors, whose sum is σ = 6007986432. Its totient is φ = 596377600.

The previous prime is 2014318829. The next prime is 2014318849. The reversal of 2014318848 is 8488134102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2014318849) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28370653 + ... + 28370723.

It is an arithmetic number, because the mean of its divisors is an integer number (20861064).

Almost surely, 22014318848 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 2014318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003993216).

2014318848 is an abundant number, since it is smaller than the sum of its proper divisors (3993667584).

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

2014318848 is a wasteful number, since it uses less digits than its factorization.

2014318848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 2014318848 is about 44881.1636212788. The cubic root of 2014318848 is about 1262.9206723879.

The spelling of 2014318848 in words is "two billion, fourteen million, three hundred eighteen thousand, eight hundred forty-eight".