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2128706064 = 243214782681
BaseRepresentation
bin111111011100001…
…0111101000010000
312111100112110202100
41332320113220100
513324422043224
6551121320400
7103515463062
oct17670275020
95440473670
102128706064
119a2665411
124b4a96100
1327c02bbb4
141629dd732
15c6d37ac9
hex7ee17a10

2128706064 has 30 divisors (see below), whose sum is σ = 5957420846. Its totient is φ = 709568640.

The previous prime is 2128706039. The next prime is 2128706077. The reversal of 2128706064 is 4606078212.

2128706064 is a `hidden beast` number, since 21 + 28 + 7 + 0 + 606 + 4 = 666.

2128706064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1529435664 + 599270400 = 39108^2 + 24480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7391197 + ... + 7391484.

Almost surely, 22128706064 is an apocalyptic number.

2128706064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2128706064 is an abundant number, since it is smaller than the sum of its proper divisors (3828714782).

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

2128706064 is a wasteful number, since it uses less digits than its factorization.

2128706064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14782695 (or 14782686 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2128706064 is about 46137.9026831520. The cubic root of 2128706064 is about 1286.3877600101.

The spelling of 2128706064 in words is "two billion, one hundred twenty-eight million, seven hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14782681 29565362 44348043 59130724 88696086 118261448 133044129 177392172 236522896 266088258 354784344 532176516 709568688 1064353032 2128706064