Search a number
-
+
11344412205 = 335717706157
BaseRepresentation
bin10101001000010110…
…11111111000101101
31002021121111211222000
422210023133320231
5141213132142310
65113410042513
7551060625030
oct124413377055
932247454860
1011344412205
1148a1696885
122247279439
1310ba3a5359
14798925017
15465e224c0
hex2a42dfe2d

11344412205 has 64 divisors (see below), whose sum is σ = 24404820480. Its totient is φ = 4880950272.

The previous prime is 11344412179. The next prime is 11344412227. The reversal of 11344412205 is 50221444311.

11344412205 is a `hidden beast` number, since 1 + 1 + 3 + 44 + 412 + 205 = 666.

It is not a de Polignac number, because 11344412205 - 25 = 11344412173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 337014 + ... + 369143.

It is an arithmetic number, because the mean of its divisors is an integer number (381325320).

Almost surely, 211344412205 is an apocalyptic number.

11344412205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11344412205 is an abundant number, since it is smaller than the sum of its proper divisors (13060408275).

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

11344412205 is a wasteful number, since it uses less digits than its factorization.

11344412205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706195 (or 706189 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11344412205 its reverse (50221444311), we get a palindrome (61565856516).

The spelling of 11344412205 in words is "eleven billion, three hundred forty-four million, four hundred twelve thousand, two hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 105 119 135 153 189 255 315 357 459 595 765 945 1071 1785 2295 3213 5355 16065 706157 2118471 3530785 4943099 6355413 10592355 12004669 14829297 19066239 24715495 31777065 36014007 44487891 60023345 74146485 84032683 95331195 108042021 133463673 180070035 222439455 252098049 324126063 420163415 540210105 667318365 756294147 1260490245 1620630315 2268882441 3781470735 11344412205