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127080010716372 = 223278946112290959
BaseRepresentation
bin11100111001010000011110…
…111001011001010011010100
3121122221201201110000112102100
4130321100132321121103110
5113124034330220410442
61130135430113442100
735524141063261140
oct3471203671312324
9548851643015370
10127080010716372
113754536a097a3a
1212304b5a570330
1355ba79416ca4c
1423549c3630220
15ea599923d84c
hex73941ee594d4

127080010716372 has 144 divisors (see below), whose sum is σ = 372050309030400. Its totient is φ = 35822734548480.

The previous prime is 127080010716367. The next prime is 127080010716389. The reversal of 127080010716372 is 273617010080721.

127080010716372 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 8 + 0 + 0 + 1 + 0 + 7 + 1 + 637 + 2 = 666.

It is a super-2 number, since 2×1270800107163722 (a number of 29 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 47 ways as a sum of consecutive naturals, for example, 4193829 + ... + 16484787.

It is an arithmetic number, because the mean of its divisors is an integer number (2583682701600).

Almost surely, 2127080010716372 is an apocalyptic number.

127080010716372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127080010716372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186025154515200).

127080010716372 is an abundant number, since it is smaller than the sum of its proper divisors (244970298314028).

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

127080010716372 is a wasteful number, since it uses less digits than its factorization.

127080010716372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12291526 (or 12291521 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 127080010716372 in words is "one hundred twenty-seven trillion, eighty billion, ten million, seven hundred sixteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 178 252 267 356 461 534 623 801 922 1068 1246 1383 1602 1844 1869 2492 2766 3204 3227 3738 4149 5532 5607 6454 7476 8298 9681 11214 12908 16596 19362 22428 29043 38724 41029 58086 82058 116172 123087 164116 246174 287203 369261 492348 574406 738522 861609 1148812 1477044 1723218 2584827 3446436 5169654 10339308 12290959 24581918 36872877 49163836 73745754 86036713 110618631 147491508 172073426 221237262 258110139 344146852 442474524 516220278 774330417 1032440556 1093895351 1548660834 2187790702 3097321668 3281686053 4375581404 5666132099 6563372106 7657267457 9845058159 11332264198 13126744212 15314534914 16998396297 19690116318 22664528396 22971802371 30629069828 33996792594 39380232636 39662924693 45943604742 50995188891 67993585188 68915407113 79325849386 91887209484 101990377782 118988774079 137830814226 158651698772 203980755564 237977548158 275661628452 356966322237 475955096316 504285756811 713932644474 1008571513622 1427865288948 1512857270433 2017143027244 3025714540866 3530000297677 4538571811299 6051429081732 7060000595354 9077143622598 10590000893031 14120001190708 18154287245196 21180001786062 31770002679093 42360003572124 63540005358186 127080010716372