Search a number
-
+
205643203960 = 2357277071637
BaseRepresentation
bin1011111110000101001…
…0100100010101111000
3201122210121222011000111
42333201102210111320
511332124130011320
6234245435314104
720600013251455
oct2774122442570
9648717864014
10205643203960
117a238255927
1233a315ab934
13165134c260c
149d4b77482c
155538acea5a
hex2fe14a4578

205643203960 has 32 divisors (see below), whose sum is σ = 463333721760. Its totient is φ = 82144123776.

The previous prime is 205643203781. The next prime is 205643203963. The reversal of 205643203960 is 69302346502.

205643203960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205643203963) 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 7 ways as a sum of consecutive naturals, for example, 3506739 + ... + 3564898.

It is an arithmetic number, because the mean of its divisors is an integer number (14479178805).

Almost surely, 2205643203960 is an apocalyptic number.

205643203960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205643203960 is an abundant number, since it is smaller than the sum of its proper divisors (257690517800).

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

205643203960 is a wasteful number, since it uses less digits than its factorization.

205643203960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072375 (or 7072371 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 205643203960 in words is "two hundred five billion, six hundred forty-three million, two hundred three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 727 1454 2908 3635 5816 7270 14540 29080 7071637 14143274 28286548 35358185 56573096 70716370 141432740 282865480 5141080099 10282160198 20564320396 25705400495 41128640792 51410800990 102821601980 205643203960