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10643310341424 = 243419432233201
BaseRepresentation
bin1001101011100001011010…
…1110110110110100110000
31101200111020121010121120000
42122320112232312310300
52343334444421411144
634345245210150000
72145645103126305
oct232702656666460
941614217117500
1010643310341424
113433891243112
12123a8b3122300
135c287692b697
1428b1d348d0ac
15136ccc1de769
hex9ae16bb6d30

10643310341424 has 100 divisors (see below), whose sum is σ = 32426134814040. Its totient is φ = 3361045363200.

The previous prime is 10643310341413. The next prime is 10643310341471. The reversal of 10643310341424 is 42414301334601.

10643310341424 is a `hidden beast` number, since 1 + 0 + 64 + 33 + 103 + 41 + 424 = 666.

It is a super-3 number, since 3×106433103414243 (a number of 40 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 (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 216091977 + ... + 216141224.

Almost surely, 210643310341424 is an apocalyptic number.

It is an amenable number.

10643310341424 is an abundant number, since it is smaller than the sum of its proper divisors (21782824472616).

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

10643310341424 is a wasteful number, since it uses less digits than its factorization.

10643310341424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432233240 (or 432233225 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 10643310341424 in words is "ten trillion, six hundred forty-three billion, three hundred ten million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 2052 2736 3078 4104 6156 8208 12312 24624 432233201 864466402 1296699603 1728932804 2593399206 3457865608 3890098809 5186798412 6915731216 7780197618 8212430819 10373596824 11670296427 15560395236 16424861638 20747193648 23340592854 24637292457 31120790472 32849723276 35010889281 46681185708 49274584914 62241580944 65699446552 70021778562 73911877371 93362371416 98549169828 131398893104 140043557124 147823754742 186724742832 197098339656 221735632113 280087114248 295647509484 394196679312 443471264226 560174228496 591295018968 665206896339 886942528452 1182590037936 1330413792678 1773885056904 2660827585356 3547770113808 5321655170712 10643310341424