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2128366305 = 325133638233
BaseRepresentation
bin111111011011100…
…0100101011100001
312111022220012200200
41332313010223201
513324330210210
6551110135413
7103512546402
oct17667045341
95438805620
102128366305
119a245311a
124b4951569
1327bc40360
141629519a9
15c6cbc0c0
hex7edc4ae1

2128366305 has 24 divisors (see below), whose sum is σ = 3972951528. Its totient is φ = 1047810816.

The previous prime is 2128366277. The next prime is 2128366309. The reversal of 2128366305 is 5036638212.

It is a happy number.

2128366305 is a `hidden beast` number, since 2 + 12 + 8 + 3 + 6 + 630 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108493056 + 2019873249 = 10416^2 + 44943^2 .

It is not a de Polignac number, because 2128366305 - 28 = 2128366049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2128366305.

It is not an unprimeable number, because it can be changed into a prime (2128366309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1818532 + ... + 1819701.

It is an arithmetic number, because the mean of its divisors is an integer number (165539647).

Almost surely, 22128366305 is an apocalyptic number.

It is an amenable number.

2128366305 is a deficient number, since it is larger than the sum of its proper divisors (1844585223).

2128366305 is a wasteful number, since it uses less digits than its factorization.

2128366305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638257 (or 3638254 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2128366305 is about 46134.2205418061. The cubic root of 2128366305 is about 1286.3193170123.

The spelling of 2128366305 in words is "two billion, one hundred twenty-eight million, three hundred sixty-six thousand, three hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 3638233 10914699 18191165 32744097 47297029 54573495 141891087 163720485 236485145 425673261 709455435 2128366305