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43783685664 = 2534345723209
BaseRepresentation
bin101000110001101101…
…100000011000100000
311012000100201200110120
4220301231200120200
51204132110420124
632040340200240
73110000121225
oct506155403040
9135010650416
1043783685664
1117628827094
12859b099080
134189c27014
142194cd394c
151213c7dd79
hexa31b60620

43783685664 has 96 divisors (see below), whose sum is σ = 117867435840. Its totient is φ = 14223347712.

The previous prime is 43783685641. The next prime is 43783685669. The reversal of 43783685664 is 46658638734.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×437836856642 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 43783685598 and 43783685607.

It is not an unprimeable number, because it can be changed into a prime (43783685669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1874892 + ... + 1898100.

It is an arithmetic number, because the mean of its divisors is an integer number (1227785790).

Almost surely, 243783685664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43783685664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58933717920).

43783685664 is an abundant number, since it is smaller than the sum of its proper divisors (74083750176).

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

43783685664 is a wasteful number, since it uses less digits than its factorization.

43783685664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23722 (or 23714 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 60.

The spelling of 43783685664 in words is "forty-three billion, seven hundred eighty-three million, six hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 457 516 688 914 1032 1371 1376 1828 2064 2742 3656 4128 5484 7312 10968 14624 19651 21936 23209 39302 43872 46418 58953 69627 78604 92836 117906 139254 157208 185672 235812 278508 314416 371344 471624 557016 628832 742688 943248 997987 1114032 1886496 1995974 2228064 2993961 3991948 5987922 7983896 10606513 11975844 15967792 21213026 23951688 31819539 31935584 42426052 47903376 63639078 84852104 95806752 127278156 169704208 254556312 339408416 456080059 509112624 912160118 1018225248 1368240177 1824320236 2736480354 3648640472 5472960708 7297280944 10945921416 14594561888 21891842832 43783685664