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13336314137622 = 23272231135817829
BaseRepresentation
bin1100001000010001101001…
…0001000100110000010110
31202012221100122212212212200
43002010122101010300112
53222000232404400442
644210341303425330
72544342203532300
oct302043221046026
952187318785780
1013336314137622
114281998721083
1215b4800755246
137597bc055908
143416a3dd4970
15181d94e5a34c
hexc211a444c16

13336314137622 has 144 divisors (see below), whose sum is σ = 35384786742240. Its totient is φ = 3612452304384.

The previous prime is 13336314137617. The next prime is 13336314137659. The reversal of 13336314137622 is 22673141363331.

It is a happy number.

13336314137622 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 6 + 3 + 1 + 4 + 13 + 7 + 622 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 616597 + ... + 5201232.

It is an arithmetic number, because the mean of its divisors is an integer number (245727685710).

Almost surely, 213336314137622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13336314137622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692393371120).

13336314137622 is an abundant number, since it is smaller than the sum of its proper divisors (22048472604618).

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

13336314137622 is a wasteful number, since it uses less digits than its factorization.

13336314137622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817987 (or 5817977 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The spelling of 13336314137622 in words is "thirteen trillion, three hundred thirty-six billion, three hundred fourteen million, one hundred thirty-seven thousand, six hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 113 126 138 147 161 207 226 294 322 339 414 441 483 678 791 882 966 1017 1127 1449 1582 2034 2254 2373 2599 2898 3381 4746 5198 5537 6762 7119 7797 10143 11074 14238 15594 16611 18193 20286 23391 33222 36386 46782 49833 54579 99666 109158 127351 163737 254702 327474 382053 764106 1146159 2292318 5817829 11635658 17453487 34906974 40724803 52360461 81449606 104720922 122174409 133810067 244348818 267620134 285073621 366523227 401430201 570147242 657414677 733046454 802860402 855220863 936670469 1204290603 1314829354 1710441726 1873340938 1972244031 2408581206 2565662589 2810011407 3944488062 4601902739 5131325178 5620022814 5916732093 6556693283 8430034221 9203805478 11833464186 13113386566 13805708217 15120537571 16860068442 19670079849 27611416434 30241075142 32213319173 39340159698 41417124651 45361612713 59010239547 64426638346 82834249302 90723225426 96639957519 105843762997 118020479094 136084838139 193279915038 211687525994 272169676278 289919872557 317531288991 579839745114 635062577982 740906340979 952593866973 1481812681958 1905187733946 2222719022937 4445438045874 6668157068811 13336314137622