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19838242375632 = 243352798698969
BaseRepresentation
bin1001000001010111100110…
…11000111100011111010000
32121020111222012221210022000
410200223303120330133100
510100012210022010012
6110105321314514000
74115160065632242
oct440536330743720
977214865853260
1019838242375632
11635939570375a
12228494b295900
13b0b979b72cc5
144c8267142092
15246088e60ddc
hex120af363c7d0

19838242375632 has 80 divisors (see below), whose sum is σ = 56953896384000. Its totient is φ = 6611494046976.

The previous prime is 19838242375631. The next prime is 19838242375639. The reversal of 19838242375632 is 23657324283891.

19838242375632 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 82 + 423 + 75 + 63 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19838242375632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19838242375631) 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, 2068957 + ... + 6630012.

It is an arithmetic number, because the mean of its divisors is an integer number (711923704800).

Almost surely, 219838242375632 is an apocalyptic number.

19838242375632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19838242375632 is an abundant number, since it is smaller than the sum of its proper divisors (37115654008368).

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

19838242375632 is a wasteful number, since it uses less digits than its factorization.

19838242375632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704265 (or 8704253 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 19838242375632 in words is "nineteen trillion, eight hundred thirty-eight billion, two hundred forty-two million, three hundred seventy-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5279 10558 15837 21116 31674 42232 47511 63348 84464 95022 126696 142533 190044 253392 285066 380088 570132 760176 1140264 2280528 8698969 17397938 26096907 34795876 52193814 69591752 78290721 104387628 139183504 156581442 208775256 234872163 313162884 417550512 469744326 626325768 939488652 1252651536 1878977304 3757954608 45921857351 91843714702 137765572053 183687429404 275531144106 367374858808 413296716159 551062288212 734749717616 826593432318 1102124576424 1239890148477 1653186864636 2204249152848 2479780296954 3306373729272 4959560593908 6612747458544 9919121187816 19838242375632