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10643450004040 = 2357193754071581
BaseRepresentation
bin1001101011100001111100…
…0011101000001001001000
31101200111121022221012122111
42122320133003220021020
52343340241200112130
634345311115432104
72145651420213040
oct232703703501110
941614538835574
1010643450004040
113433953064767
12123a931a55634
135c289984b299
1428b207c46720
15136cd95cb02a
hex9ae1f0e8248

10643450004040 has 128 divisors (see below), whose sum is σ = 29587969670400. Its totient is φ = 3363684848640.

The previous prime is 10643450004029. The next prime is 10643450004071. The reversal of 10643450004040 is 4040005434601.

It is a super-2 number, since 2×106434500040402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10643450003993 and 10643450004011.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26838951 + ... + 27232630.

It is an arithmetic number, because the mean of its divisors is an integer number (231156013050).

Almost surely, 210643450004040 is an apocalyptic number.

10643450004040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10643450004040 is an abundant number, since it is smaller than the sum of its proper divisors (18944519666360).

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

10643450004040 is a wasteful number, since it uses less digits than its factorization.

10643450004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54071655 (or 54071651 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 10643450004040 its reverse (4040005434601), we get a palindrome (14683455438641).

The spelling of 10643450004040 in words is "ten trillion, six hundred forty-three billion, four hundred fifty million, four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 37 38 40 56 70 74 76 95 133 140 148 152 185 190 259 266 280 296 370 380 518 532 665 703 740 760 1036 1064 1295 1330 1406 1480 2072 2590 2660 2812 3515 4921 5180 5320 5624 7030 9842 10360 14060 19684 24605 28120 39368 49210 98420 196840 54071581 108143162 216286324 270357905 378501067 432572648 540715810 757002134 1027360039 1081431620 1514004268 1892505335 2000648497 2054720078 2162863240 3028008536 3785010670 4001296994 4109440156 5136800195 7191520273 7570021340 8002593988 8218880312 10003242485 10273600390 14004539479 14383040546 15140042680 16005187976 20006484970 20547200780 28009078958 28766081092 35957601365 38012321443 40012969940 41094401560 56018157916 57532162184 70022697395 71915202730 76024642886 80025939880 112036315832 140045394790 143830405460 152049285772 190061607215 266086250101 280090789580 287660810920 304098571544 380123214430 532172500202 560181579160 760246428860 1064345000404 1330431250505 1520492857720 2128690000808 2660862501010 5321725002020 10643450004040