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12944270064 = 2431141738191
BaseRepresentation
bin11000000111000100…
…11110001011110000
31020102002221001100210
430003202132023300
5203002213120224
65540240344120
7635525323455
oct140342361360
936362831323
1012944270064
115542780760
122613015040
1312b398b4cb
148ab1bd82c
1550b5e4429
hex30389e2f0

12944270064 has 160 divisors (see below), whose sum is σ = 37885575168. Its totient is φ = 3773952000.

The previous prime is 12944270057. The next prime is 12944270077. The reversal of 12944270064 is 46007244921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1576209 + ... + 1584399.

Almost surely, 212944270064 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 12944270064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942787584).

12944270064 is an abundant number, since it is smaller than the sum of its proper divisors (24941305104).

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

12944270064 is a wasteful number, since it uses less digits than its factorization.

12944270064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8327 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 12944270064 in words is "twelve billion, nine hundred forty-four million, two hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 73 82 88 123 132 146 164 176 219 246 264 292 328 438 451 492 528 584 656 803 876 902 984 1168 1353 1606 1752 1804 1968 2409 2706 2993 3212 3504 3608 4818 5412 5986 6424 7216 8191 8979 9636 10824 11972 12848 16382 17958 19272 21648 23944 24573 32764 32923 35916 38544 47888 49146 65528 65846 71832 90101 98292 98769 131056 131692 143664 180202 196584 197538 263384 270303 335831 360404 393168 395076 526768 540606 597943 671662 720808 790152 1007493 1081212 1195886 1343324 1441616 1580304 1793829 2014986 2162424 2391772 2686648 3587658 3694141 4029972 4324848 4783544 5373296 6577373 7175316 7388282 8059944 9567088 11082423 13154746 14350632 14776564 16119888 19732119 22164846 24515663 26309492 28701264 29553128 39464238 44329692 49031326 52618984 59106256 73546989 78928476 88659384 98062652 105237968 147093978 157856952 177318768 196125304 269672293 294187956 315713904 392250608 539344586 588375912 809016879 1078689172 1176751824 1618033758 2157378344 3236067516 4314756688 6472135032 12944270064