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128284126078626 = 2347899591257521
BaseRepresentation
bin11101001010110001111001…
…110000111110011010100010
3121211012211202022111201010000
4131022301321300332122202
5113303301342234004001
61132500525224520430
736010136143054650
oct3512617160763242
9554184668451100
10128284126078626
1137969aa08a1661
121247a3a6320116
1356771ab23b13b
142396db053bdd0
15ec6e7038aa86
hex74ac79c3e6a2

128284126078626 has 80 divisors (see below), whose sum is σ = 328519876164480. Its totient is φ = 36652170867840.

The previous prime is 128284126078607. The next prime is 128284126078637. The reversal of 128284126078626 is 626870621482821.

It is a happy number.

128284126078626 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 8 + 4 + 12 + 607 + 8 + 6 + 2 + 6 = 666.

It is a super-3 number, since 3×1282841260786263 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101384746 + ... + 102642266.

It is an arithmetic number, because the mean of its divisors is an integer number (4106498452056).

Almost surely, 2128284126078626 is an apocalyptic number.

128284126078626 is an abundant number, since it is smaller than the sum of its proper divisors (200235750085854).

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

128284126078626 is a wasteful number, since it uses less digits than its factorization.

128284126078626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347501 (or 1347492 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 128284126078626 in words is "one hundred twenty-eight trillion, two hundred eighty-four billion, one hundred twenty-six million, seventy-eight thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 89959 179918 269877 539754 629713 809631 1257521 1259426 1619262 1889139 2428893 2515042 3772563 3778278 4857786 5667417 7286679 7545126 8802647 11317689 11334834 14573358 17002251 17605294 22635378 26407941 33953067 34004502 51006753 52815882 67906134 79223823 101859201 102013506 158447646 203718402 237671469 475342938 713014407 1426028814 113125331639 226250663278 339375994917 678751989834 791877321473 1018127984751 1583754642946 2036255969502 2375631964419 3054383954253 4751263928838 6108767908506 7126895893257 9163151862759 14253791786514 18326303725518 21380687679771 42761375359542 64142063039313 128284126078626