Search a number
-
+
204295806272 = 2618117636033
BaseRepresentation
bin1011111001000011111…
…0101001110101000000
3201112022201121020212102
42332100332221311000
511321344211300042
6233504024045532
720521432462355
oct2762076516500
9645281536772
10204295806272
1179706725018
12337163038a8
131635a30088c
149c6083662c
1554aa67ab32
hex2f90fa9d40

204295806272 has 28 divisors (see below), whose sum is σ = 407639289876. Its totient is φ = 101583544320.

The previous prime is 204295806167. The next prime is 204295806277. The reversal of 204295806272 is 272608592402.

204295806272 is digitally balanced in base 2, 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 2 ways, for example, as 2493604096 + 201802202176 = 49936^2 + 449224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204295806277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8806433 + ... + 8829600.

It is an arithmetic number, because the mean of its divisors is an integer number (14558546067).

Almost surely, 2204295806272 is an apocalyptic number.

It is an amenable number.

204295806272 is a deficient number, since it is larger than the sum of its proper divisors (203343483604).

204295806272 is a wasteful number, since it uses less digits than its factorization.

204295806272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17636226 (or 17636216 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 204295806272 in words is "two hundred four billion, two hundred ninety-five million, eight hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 181 362 724 1448 2896 5792 11584 17636033 35272066 70544132 141088264 282176528 564353056 1128706112 3192121973 6384243946 12768487892 25536975784 51073951568 102147903136 204295806272