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12746522746272 = 253728167501921
BaseRepresentation
bin1011100101111100011111…
…1101011101110110100000
31200010120000002022212210010
42321133013331131312200
53132314334310340042
643035401031204520
72453622500446560
oct271370775356640
950116002285703
1012746522746272
114074851875337
12151a440816740
13715cb8395353
14320d13896da0
1517187645559c
hexb97c7f5dda0

12746522746272 has 96 divisors (see below), whose sum is σ = 38375652680064. Its totient is φ = 3628903219200.

The previous prime is 12746522746241. The next prime is 12746522746273. The reversal of 12746522746272 is 27264722564721.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12746522746273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33562129 + ... + 33939792.

It is an arithmetic number, because the mean of its divisors is an integer number (399746382084).

Almost surely, 212746522746272 is an apocalyptic number.

12746522746272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12746522746272 is an abundant number, since it is smaller than the sum of its proper divisors (25629129933792).

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

12746522746272 is a wasteful number, since it uses less digits than its factorization.

12746522746272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67502222 (or 67502214 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 57.

The spelling of 12746522746272 in words is "twelve trillion, seven hundred forty-six billion, five hundred twenty-two million, seven hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 281 336 562 672 843 1124 1686 1967 2248 3372 3934 4496 5901 6744 7868 8992 11802 13488 15736 23604 26976 31472 47208 62944 94416 188832 67501921 135003842 202505763 270007684 405011526 472513447 540015368 810023052 945026894 1080030736 1417540341 1620046104 1890053788 2160061472 2835080682 3240092208 3780107576 5670161364 6480184416 7560215152 11340322728 15120430304 18968039801 22680645456 37936079602 45361290912 56904119403 75872159204 113808238806 132776278607 151744318408 227616477612 265552557214 303488636816 398328835821 455232955224 531105114428 606977273632 796657671642 910465910448 1062210228856 1593315343284 1820931820896 2124420457712 3186630686568 4248840915424 6373261373136 12746522746272