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2118484368 = 2434711132371
BaseRepresentation
bin111111001000101…
…1000000110010000
312110122022011020000
41332101120012100
513314312444433
6550114250000
7103332551160
oct17621300620
95418264200
102118484368
11997913730
124b1586900
13279b90460
141614dc5a0
15c5eb9113
hex7e458190

2118484368 has 800 divisors, whose sum is σ = 8711442432. Its totient is φ = 479001600.

The previous prime is 2118484349. The next prime is 2118484369. The reversal of 2118484368 is 8634848112.

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

It is not an unprimeable number, because it can be changed into a prime (2118484369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29837773 + ... + 29837843.

Almost surely, 22118484368 is an apocalyptic number.

2118484368 is a gapful number since it is divisible by the number (28) 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 2118484368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355721216).

2118484368 is an abundant number, since it is smaller than the sum of its proper divisors (6592958064).

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

2118484368 is a wasteful number, since it uses less digits than its factorization.

2118484368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 2118484368 is about 46026.9960783886. The cubic root of 2118484368 is about 1284.3254481176.

The spelling of 2118484368 in words is "two billion, one hundred eighteen million, four hundred eighty-four thousand, three hundred sixty-eight".