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5532511114332 = 2232737978113257
BaseRepresentation
bin101000010000010001101…
…0111000001010001011100
3201120220101012201120022100
41100200203113001101130
51211121040321124312
615433333413445100
71110465532356426
oct120404327012134
921526335646270
105532511114332
111843363323394
127542a2940790
133119378c83a7
14151abc719816
1598da76525dc
hex508235c145c

5532511114332 has 144 divisors (see below), whose sum is σ = 14216186511072. Its totient is φ = 1813828515840.

The previous prime is 5532511114331. The next prime is 5532511114349. The reversal of 5532511114332 is 2334111152355.

It is a happy number.

5532511114332 is a `hidden beast` number, since 5 + 53 + 251 + 11 + 14 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5532511114331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1698650848 + ... + 1698654104.

It is an arithmetic number, because the mean of its divisors is an integer number (98723517438).

Almost surely, 25532511114332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5532511114332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108093255536).

5532511114332 is an abundant number, since it is smaller than the sum of its proper divisors (8683675396740).

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

5532511114332 is a wasteful number, since it uses less digits than its factorization.

5532511114332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 4943 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

Adding to 5532511114332 its reverse (2334111152355), we get a palindrome (7866622266687).

The spelling of 5532511114332 in words is "five trillion, five hundred thirty-two billion, five hundred eleven million, one hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 797 811 876 1314 1594 1622 2391 2433 2628 3188 3244 3257 4782 4866 6514 7173 7299 9564 9732 9771 13028 14346 14598 19542 28692 29196 29313 39084 58181 58626 59203 116362 117252 118406 174543 177609 232724 236812 237761 349086 355218 475522 523629 532827 646367 698172 710436 713283 951044 1047258 1065654 1292734 1426566 1939101 2094516 2131308 2139849 2585468 2595829 2641427 2853132 3878202 4279698 5191658 5282854 5817303 7756404 7787487 7924281 8559396 10383316 10565708 11634606 15574974 15848562 23269212 23362461 23772843 31149948 31697124 46724922 47184791 47545686 93449844 94369582 95091372 141554373 188739164 189495517 192824171 283108746 378991034 385648342 424663119 566217492 568486551 578472513 757982068 771296684 849326238 1136973102 1156945026 1698652476 1705459653 1735417539 2105217319 2273946204 2313890052 3410919306 3470835078 4210434638 6315651957 6821838612 6941670156 8420869276 12631303914 18946955871 25262607828 37893911742 75787823484 153680864287 307361728574 461042592861 614723457148 922085185722 1383127778583 1844170371444 2766255557166 5532511114332