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11445511423311 = 3371910393067639
BaseRepresentation
bin1010011010001101110110…
…1001001000010101001111
31111112011212100222220021000
42212203131221020111033
53000010401411021221
640201554555311343
72260624304614560
oct246433551102517
944464770886230
1011445511423311
1137130178a6249
12134a27274b553
136503cb8c7c74
142b7d73c94167
1514cacd863e26
hexa68dda4854f

11445511423311 has 64 divisors (see below), whose sum is σ = 20418211840000. Its totient is φ = 6190100826336.

The previous prime is 11445511423279. The next prime is 11445511423351. The reversal of 11445511423311 is 11332411554411.

11445511423311 is a `hidden beast` number, since 1 + 1 + 44 + 551 + 14 + 23 + 31 + 1 = 666.

11445511423311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11445511423311 - 25 = 11445511423279 is a prime.

It is a super-2 number, since 2×114455114233112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11445511423351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2197230 + ... + 5264868.

It is an arithmetic number, because the mean of its divisors is an integer number (319034560000).

Almost surely, 211445511423311 is an apocalyptic number.

11445511423311 is a deficient number, since it is larger than the sum of its proper divisors (8972700416689).

11445511423311 is a wasteful number, since it uses less digits than its factorization.

11445511423311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068713 (or 3068707 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 11445511423311 its reverse (11332411554411), we get a palindrome (22777922977722).

The spelling of 11445511423311 in words is "eleven trillion, four hundred forty-five billion, five hundred eleven million, four hundred twenty-three thousand, three hundred eleven".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1039 1197 3117 3591 7273 9351 19741 21819 28053 59223 65457 138187 177669 196371 414561 533007 1243683 3067639 3731049 9202917 21473473 27608751 58285141 64420419 82826253 174855423 193261257 407995987 524566269 579783771 1223987961 1573698807 3187276921 3671963883 9561830763 11015891649 22310938447 28685492289 60558261499 66932815341 86056476867 181674784497 200798446023 423907830493 545024353491 602395338069 1271723491479 1635073060473 3815170474437 11445511423311