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12116432511 = 3214931328867
BaseRepresentation
bin10110100100011001…
…00001011001111111
31011021102012112201200
423102030201121333
5144303301320021
65322145110543
7606153656061
oct132214413177
934242175650
1012116432511
115158457097
122421928453
1311b130c9c1
1482d289731
154adabe126
hex2d232167f

12116432511 has 24 divisors (see below), whose sum is σ = 17675876400. Its totient is φ = 7997498496.

The previous prime is 12116432483. The next prime is 12116432519. The reversal of 12116432511 is 11523461121.

12116432511 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 643 + 2 + 5 + 11 = 666.

It is not a de Polignac number, because 12116432511 - 213 = 12116424319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12116432519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405300 + ... + 434166.

It is an arithmetic number, because the mean of its divisors is an integer number (736494850).

Almost surely, 212116432511 is an apocalyptic number.

12116432511 is a deficient number, since it is larger than the sum of its proper divisors (5559443889).

12116432511 is a wasteful number, since it uses less digits than its factorization.

12116432511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29335 (or 29332 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 12116432511 its reverse (11523461121), we get a palindrome (23639893632).

The spelling of 12116432511 in words is "twelve billion, one hundred sixteen million, four hundred thirty-two thousand, five hundred eleven".

Divisors: 1 3 9 149 313 447 939 1341 2817 28867 46637 86601 139911 259803 419733 4301183 9035371 12903549 27106113 38710647 81318339 1346270279 4038810837 12116432511