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55132140224112 = 24371571624964319
BaseRepresentation
bin11001000100100011100111…
…01000100011111001110000
321020012120200122102021201120
430202101303220203321300
524211241110344132422
6313131204445302240
714420110554515130
oct1442216350437160
9236176618367646
1055132140224112
1116626455956836
126224b8a264980
13249bc27bc1463
14d885a47b6ac0
156591a805545c
hex322473a23e70

55132140224112 has 160 divisors (see below), whose sum is σ = 163820467200000. Its totient is φ = 15650502027264.

The previous prime is 55132140224099. The next prime is 55132140224129. The reversal of 55132140224112 is 21142204123155.

It is a super-2 number, since 2×551321402241122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857135089 + ... + 857199407.

It is an arithmetic number, because the mean of its divisors is an integer number (1023877920000).

Almost surely, 255132140224112 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 55132140224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81910233600000).

55132140224112 is an abundant number, since it is smaller than the sum of its proper divisors (108688326975888).

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

55132140224112 is a wasteful number, since it uses less digits than its factorization.

55132140224112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80743 (or 80737 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 55132140224112 its reverse (21142204123155), we get a palindrome (76274344347267).

The spelling of 55132140224112 in words is "fifty-five trillion, one hundred thirty-two billion, one hundred forty million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 157 168 314 336 471 628 942 1099 1256 1884 2198 2512 3297 3768 4396 6594 7536 8792 13188 16249 17584 26376 32498 48747 52752 64319 64996 97494 113743 128638 129992 192957 194988 227486 257276 259984 341229 385914 389976 450233 454972 514552 682458 771828 779952 900466 909944 1029104 1350699 1364916 1543656 1800932 1819888 2551093 2701398 2729832 3087312 3601864 5102186 5402796 5459664 7203728 7653279 10098083 10204372 10805592 15306558 17857651 20196166 20408744 21611184 30294249 30613116 35715302 40392332 40817488 53572953 60588498 61226232 70686581 71430604 80784664 107145906 121176996 122452464 141373162 142861208 161569328 212059743 214291812 242353992 282746324 285722416 424119486 428583624 484707984 565492648 848238972 857167248 1045119431 1130985296 1696477944 2090238862 3135358293 3392955888 4180477724 6270716586 7315836017 8360955448 12541433172 14631672034 16721910896 21947508051 25082866344 29263344068 43895016102 50165732688 58526688136 87790032204 117053376272 164083750667 175580064408 328167501334 351160128816 492251252001 656335002668 984502504002 1148586254669 1312670005336 1969005008004 2297172509338 2625340010672 3445758764007 3938010016008 4594345018676 6891517528014 7876020032016 9188690037352 13783035056028 18377380074704 27566070112056 55132140224112