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2128748544 = 21332132221
BaseRepresentation
bin111111011100010…
…0010000000000000
312111100121122000200
41332320202000000
513324424423134
6551122245200
7103516030656
oct17670420000
95440548020
102128748544
119a269431a
124b4ab6800
1327c045330
14162a10dd6
15c6d45499
hex7ee22000

2128748544 has 168 divisors, whose sum is σ = 6625350732. Its totient is φ = 654704640.

The previous prime is 2128748519. The next prime is 2128748561. The reversal of 2128748544 is 4458478212.

2128748544 is a `hidden beast` number, since 2 + 128 + 7 + 485 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2105708544 + 23040000 = 45888^2 + 4800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2128748544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957354 + ... + 959574.

Almost surely, 22128748544 is an apocalyptic number.

2128748544 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 2128748544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312675366).

2128748544 is an abundant number, since it is smaller than the sum of its proper divisors (4496602188).

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

2128748544 is a wasteful number, since it uses less digits than its factorization.

2128748544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2239 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The square root of 2128748544 is about 46138.3630398825. The cubic root of 2128748544 is about 1286.3963169123.

The spelling of 2128748544 in words is "two billion, one hundred twenty-eight million, seven hundred forty-eight thousand, five hundred forty-four".