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12430166150512 = 2411223893136561
BaseRepresentation
bin1011010011100001111110…
…1000110100110101110000
31122000022102122120200211001
42310320133220310311300
53112123440013304022
642234201155331344
72422023050656135
oct264703750646560
948008378520731
1012430166150512
113a62670813600
1214890715b0b54
136c220c958116
1430d8a22ba58c
1516850cd12b27
hexb4e1fa34d70

12430166150512 has 120 divisors (see below), whose sum is σ = 27933217472160. Its totient is φ = 5343694540800.

The previous prime is 12430166150509. The next prime is 12430166150531. The reversal of 12430166150512 is 21505166103421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2394712 + ... + 5531272.

It is an arithmetic number, because the mean of its divisors is an integer number (232776812268).

Almost surely, 212430166150512 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 12430166150512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13966608736080).

12430166150512 is an abundant number, since it is smaller than the sum of its proper divisors (15503051321648).

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

12430166150512 is a wasteful number, since it uses less digits than its factorization.

12430166150512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136703 (or 3136686 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 12430166150512 in words is "twelve trillion, four hundred thirty billion, one hundred sixty-six million, one hundred fifty thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 89 92 121 176 178 184 242 253 356 368 484 506 712 968 979 1012 1424 1936 1958 2024 2047 2783 3916 4048 4094 5566 7832 8188 10769 11132 15664 16376 21538 22264 22517 32752 43076 44528 45034 86152 90068 172304 180136 247687 360272 495374 990748 1981496 3136561 3962992 6273122 12546244 25092488 34502171 50184976 69004342 72140903 138008684 144281806 276017368 279153929 288563612 379523881 552034736 558307858 577127224 759047762 793549933 1116615716 1154254448 1518095524 1587099866 2233231432 3036191048 3070693219 3174199732 4466462864 6072382096 6141386438 6348399464 6420540367 8729049263 12282772876 12696798928 12841080734 17458098526 24565545752 25682161468 33777625409 34916197052 49131091504 51364322936 67555250818 69832394104 70625944037 102728645872 135110501636 139664788208 141251888074 270221003272 282503776148 540442006544 565007552296 776885384407 1130015104592 1553770768814 3107541537628 6215083075256 12430166150512