Search a number
-
+
206211206064 = 243711312292017
BaseRepresentation
bin1100000000001100100…
…1010100101110110000
3201201021012202122102110
43000003021110232300
511334310032043224
6234422045445320
720620051221333
oct3000311245660
9651235678373
10206211206064
117a4a9939256
1233b6b870840
13165a4096a36
149da2d8c61a
15556d8cb929
hex3003254bb0

206211206064 has 160 divisors (see below), whose sum is σ = 546987133440. Its totient is φ = 66924748800.

The previous prime is 206211206063. The next prime is 206211206077. The reversal of 206211206064 is 460602112602.

It is not an unprimeable number, because it can be changed into a prime (206211206063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102235584 + ... + 102237600.

It is an arithmetic number, because the mean of its divisors is an integer number (3418669584).

Almost surely, 2206211206064 is an apocalyptic number.

206211206064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206211206064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273493566720).

206211206064 is an abundant number, since it is smaller than the sum of its proper divisors (340775927376).

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

206211206064 is a wasteful number, since it uses less digits than its factorization.

206211206064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 206211206064 its reverse (460602112602), we get a palindrome (666813318666).

The spelling of 206211206064 in words is "two hundred six billion, two hundred eleven million, two hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 131 142 213 229 262 284 393 426 458 524 568 687 786 852 916 1048 1136 1374 1572 1704 1832 2017 2096 2748 3144 3408 3664 4034 5496 6051 6288 8068 9301 10992 12102 16136 16259 18602 24204 27903 29999 32272 32518 37204 48408 48777 55806 59998 65036 74408 89997 96816 97554 111612 119996 130072 143207 148816 179994 195108 223224 239992 260144 264227 286414 359988 390216 429621 446448 461893 479984 528454 572828 719976 780432 792681 859242 923786 1056908 1145656 1385679 1439952 1585362 1718484 1847572 2113816 2129929 2291312 2771358 3170724 3436968 3695144 4227632 4259858 5542716 6341448 6389787 6873936 7390288 8519716 11085432 12682896 12779574 17039432 18760117 22170864 25559148 32794403 34078864 37520234 51118296 56280351 60507983 65588806 75040468 98383209 102236592 112560702 121015966 131177612 150080936 181523949 196766418 225121404 242031932 262355224 300161872 363047898 393532836 450242808 484063864 524710448 726095796 787065672 900485616 968127728 1452191592 1574131344 2904383184 4296066793 8592133586 12888200379 17184267172 25776400758 34368534344 51552801516 68737068688 103105603032 206211206064