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2118828096 = 2632711243101
BaseRepresentation
bin111111001001010…
…1100000001000000
312110122221121201200
41332102230001000
513314404444341
6550125501200
7103335512250
oct17622540100
95418847650
102118828096
11998028a00
124b1711800
13279c80a48
1416158b960
15c6035db6
hex7e4ac040

2118828096 has 504 divisors, whose sum is σ = 7883908032. Its totient is φ = 532224000.

The previous prime is 2118828091. The next prime is 2118828097. The reversal of 2118828096 is 6908288112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (2118828091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20978446 + ... + 20978546.

Almost surely, 22118828096 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 2118828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941954016).

2118828096 is an abundant number, since it is smaller than the sum of its proper divisors (5765079936).

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

2118828096 is a wasteful number, since it uses less digits than its factorization.

2118828096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 2118828096 is about 46030.7299094855. The cubic root of 2118828096 is about 1284.3949057529.

It can be divided in two parts, 21188 and 28096, that added together give a square (49284 = 2222).

The spelling of 2118828096 in words is "two billion, one hundred eighteen million, eight hundred twenty-eight thousand, ninety-six".