Search a number
-
+
205120318494 = 23713587639997
BaseRepresentation
bin1011111100001000011…
…1111010110000011110
3201121110012001211000010
42333002013322300132
511330041300142434
6234121520144050
720551033640160
oct2770207726036
9647405054003
10205120318494
1179a9a088283
1233906468026
131645c086930
149cdc142930
155507c459e9
hex2fc21fac1e

205120318494 has 64 divisors (see below), whose sum is σ = 505772499456. Its totient is φ = 54005422464.

The previous prime is 205120318489. The next prime is 205120318511. The reversal of 205120318494 is 494813021502.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504 + ... + 640500.

It is an arithmetic number, because the mean of its divisors is an integer number (7902695304).

Almost surely, 2205120318494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205120318494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252886249728).

205120318494 is an abundant number, since it is smaller than the sum of its proper divisors (300652180962).

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

205120318494 is a wasteful number, since it uses less digits than its factorization.

205120318494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640609.

The product of its (nonzero) digits is 69120, while the sum is 39.

Adding to 205120318494 its reverse (494813021502), we get a palindrome (699933339996).

The spelling of 205120318494 in words is "two hundred five billion, one hundred twenty million, three hundred eighteen thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 587 1174 1761 3522 4109 7631 8218 12327 15262 22893 24654 45786 53417 106834 160251 320502 639997 1279994 1919991 3839982 4479979 8319961 8959958 13439937 16639922 24959883 26879874 49919766 58239727 116479454 174719181 349438362 375678239 751356478 1127034717 2254069434 2629747673 4883817107 5259495346 7889243019 9767634214 14651451321 15778486038 29302902642 34186719749 68373439498 102560159247 205120318494