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10643310344340 = 2234510165048957
BaseRepresentation
bin1001101011100001011010…
…1110110111100010010100
31101200111020121010202120000
42122320112232313202110
52343334444422004330
634345245210211300
72145645103140642
oct232702656674224
941614217122500
1010643310344340
113433891245323
12123a8b3123b30
135c287692cacb
1428b1d3490192
15136ccc1e0560
hex9ae16bb7894

10643310344340 has 120 divisors (see below), whose sum is σ = 33719038064712. Its totient is φ = 2810114899200.

The previous prime is 10643310344311. The next prime is 10643310344347. The reversal of 10643310344340 is 4344301334601.

10643310344340 is a `hidden beast` number, since 1 + 0 + 643 + 3 + 1 + 0 + 3 + 4 + 4 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2726976638736 + 7916333705604 = 1651356^2 + 2813598^2 .

It is a super-2 number, since 2×106433103443402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10643310344295 and 10643310344304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10643310344347) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 32360859 + ... + 32688098.

Almost surely, 210643310344340 is an apocalyptic number.

10643310344340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10643310344340 is an abundant number, since it is smaller than the sum of its proper divisors (23075727720372).

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

10643310344340 is a wasteful number, since it uses less digits than its factorization.

10643310344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65049079 (or 65049068 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 10643310344340 its reverse (4344301334601), we get a palindrome (14987611678941).

The spelling of 10643310344340 in words is "ten trillion, six hundred forty-three billion, three hundred ten million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 101 108 135 162 180 202 270 303 324 404 405 505 540 606 810 909 1010 1212 1515 1620 1818 2020 2727 3030 3636 4545 5454 6060 8181 9090 10908 13635 16362 18180 27270 32724 40905 54540 81810 163620 65048957 130097914 195146871 260195828 325244785 390293742 585440613 650489570 780587484 975734355 1170881226 1300979140 1756321839 1951468710 2341762452 2927203065 3512643678 3902937420 5268965517 5854406130 6569944657 7025287356 8781609195 10537931034 11708812260 13139889314 17563218390 19709833971 21075862068 26279778628 26344827585 32849723285 35126436780 39419667942 52689655170 59129501913 65699446570 78839335884 98549169855 105379310340 118259003826 131398893140 177388505739 197098339710 236518007652 295647509565 354777011478 394196679420 532165517217 591295019130 709554022956 886942528695 1064331034434 1182590038260 1773885057390 2128662068868 2660827586085 3547770114780 5321655172170 10643310344340