Search a number
-
+
12011422614633 = 32131761283349819
BaseRepresentation
bin1010111011001010000010…
…0101000000010001101001
31120112021120200202001022200
42232302200211000101221
53033243343142132013
641313545452210413
72346540151436001
oct256624045002151
946467520661280
1012011422614633
113911019a24292
12141ba89169a09
13691898046060
142d74daa5d001
1515c6a0b3de73
hexaeca0940469

12011422614633 has 96 divisors (see below), whose sum is σ = 20178949714560. Its totient is φ = 6818596485120.

The previous prime is 12011422614601. The next prime is 12011422614689. The reversal of 12011422614633 is 33641622411021.

12011422614633 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 4 + 2 + 2 + 6 + 14 + 633 = 666.

It is not a de Polignac number, because 12011422614633 - 25 = 12011422614601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12011422618633) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 34161198 + ... + 34511016.

It is an arithmetic number, because the mean of its divisors is an integer number (210197392860).

Almost surely, 212011422614633 is an apocalyptic number.

12011422614633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12011422614633 is a deficient number, since it is larger than the sum of its proper divisors (8167527099927).

12011422614633 is a wasteful number, since it uses less digits than its factorization.

12011422614633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350199 (or 350196 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12011422614633 in words is "twelve trillion, eleven billion, four hundred twenty-two million, six hundred fourteen thousand, six hundred thirty-three".

Divisors: 1 3 9 13 17 39 51 61 117 153 183 221 283 549 663 793 849 1037 1989 2379 2547 3111 3679 4811 7137 9333 11037 13481 14433 17263 33111 40443 43299 51789 62543 121329 155367 187629 224419 293471 349819 562887 673257 880413 1049457 2019771 2641239 3148371 3815123 4547647 5946923 11445369 13642941 17840769 21338959 34336107 40928823 53522307 64016877 77309999 98998777 192050631 231929997 277406467 296996331 362762303 695789991 832219401 890988993 1088286909 1286984101 1682979209 2496658203 3264860727 3860952303 4715909939 5048937627 6038925397 11582856909 14147729817 15146812881 18116776191 21878729717 42443189451 54350328573 65636189151 78506030161 102661731749 196908567453 235518090483 307985195247 706554271449 923955585741 1334602512737 4003807538211 12011422614633