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12104773626048 = 263113859649507
BaseRepresentation
bin1011000000100101110010…
…1110110110100011000000
31120212012112111010202220220
42300021130232312203000
53041311034022013143
641424504540303040
72356353401104065
oct260113456664300
946765474122826
1012104773626048
1139476731608a4
121435ba0241a80
1369a62419b20c
142dbc34a14c6c
1515ed16297d83
hexb025cbb68c0

12104773626048 has 112 divisors (see below), whose sum is σ = 32348304274560. Its totient is φ = 3994555428864.

The previous prime is 12104773626047. The next prime is 12104773626059. The reversal of 12104773626048 is 84062637740121.

It is a super-2 number, since 2×121047736260482 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12104773626047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18312111 + ... + 18961617.

Almost surely, 212104773626048 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 12104773626048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174152137280).

12104773626048 is an abundant number, since it is smaller than the sum of its proper divisors (20243530648512).

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

12104773626048 is a wasteful number, since it uses less digits than its factorization.

12104773626048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650494 (or 650484 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 12104773626048 in words is "twelve trillion, one hundred four billion, seven hundred seventy-three million, six hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 859 904 1356 1718 1808 2577 2712 3436 3616 5154 5424 6872 7232 10308 10848 13744 20616 21696 27488 41232 54976 82464 97067 164928 194134 291201 388268 582402 649507 776536 1164804 1299014 1553072 1948521 2329608 2598028 3106144 3897042 4659216 5196056 6212288 7794084 9318432 10392112 15588168 18636864 20784224 31176336 41568448 62352672 73394291 124705344 146788582 220182873 293577164 440365746 557926513 587154328 880731492 1115853026 1174308656 1673779539 1761462984 2231706052 2348617312 3347559078 3522925968 4463412104 4697234624 6695118156 7045851936 8926824208 13390236312 14091703872 17853648416 26780472624 35707296832 53560945248 63045695969 107121890496 126091391938 189137087907 252182783876 378274175814 504365567752 756548351628 1008731135504 1513096703256 2017462271008 3026193406512 4034924542016 6052386813024 12104773626048