Search a number
-
+
11432240092 = 2271361514873
BaseRepresentation
bin10101010010110101…
…00010001111011100
31002111201202222011201
422221122202033130
5141403123140332
65130224325244
7553205303020
oct125132421734
932451688151
1011432240092
114937224209
122270773824
131102646710
147a6468380
1546d9c05e7
hex2a96a23dc

11432240092 has 48 divisors (see below), whose sum is σ = 25026995392. Its totient is φ = 4448494080.

The previous prime is 11432240081. The next prime is 11432240111. The reversal of 11432240092 is 29004223411.

11432240092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114322400922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11432240092.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235233 + ... + 279640.

Almost surely, 211432240092 is an apocalyptic number.

It is an amenable number.

11432240092 is an abundant number, since it is smaller than the sum of its proper divisors (13594755300).

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

11432240092 is a wasteful number, since it uses less digits than its factorization.

11432240092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514958 (or 514956 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 11432240092 in words is "eleven billion, four hundred thirty-two million, two hundred forty thousand, ninety-two".

Divisors: 1 2 4 7 13 14 26 28 52 61 91 122 182 244 364 427 793 854 1586 1708 3172 5551 11102 22204 514873 1029746 2059492 3604111 6693349 7208222 13386698 14416444 26773396 31407253 46853443 62814506 93706886 125629012 187413772 219850771 408294289 439701542 816588578 879403084 1633177156 2858060023 5716120046 11432240092