Search a number
-
+
205325513352 = 23322851743241
BaseRepresentation
bin1011111100111001011…
…0101011001010001000
3201121222111011210102200
42333032112223022020
511331001312411402
6234154130200200
720556105032001
oct2771626531210
9647874153380
10205325513352
117a094999203
1233963123060
131649273c5cb
149d1b4b81a8
15551ac7921c
hex2fce5ab288

205325513352 has 24 divisors (see below), whose sum is σ = 556089932190. Its totient is φ = 68441837760.

The previous prime is 205325513303. The next prime is 205325513357. The reversal of 205325513352 is 253315523502.

205325513352 is a `hidden beast` number, since 2 + 0 + 53 + 2 + 551 + 3 + 3 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132331523076 + 72993990276 = 363774^2 + 270174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (205325513357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1425871549 + ... + 1425871692.

Almost surely, 2205325513352 is an apocalyptic number.

It is an amenable number.

205325513352 is an abundant number, since it is smaller than the sum of its proper divisors (350764418838).

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

205325513352 is a wasteful number, since it uses less digits than its factorization.

205325513352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851743253 (or 2851743246 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 205325513352 in words is "two hundred five billion, three hundred twenty-five million, five hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2851743241 5703486482 8555229723 11406972964 17110459446 22813945928 25665689169 34220918892 51331378338 68441837784 102662756676 205325513352