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43228584648 = 233210722292
BaseRepresentation
bin101000010000100111…
…111101101011001000
311010120200012122000200
4220100213331223020
51202013004202043
631505310332200
73060146623014
oct502047755310
9133520178020
1043228584648
1117373455517
1284651ba060
1340cbc1ba92
1421412b7544
1511d017e7d3
hexa109fdac8

43228584648 has 108 divisors (see below), whose sum is σ = 118700155665. Its totient is φ = 14212524096.

The previous prime is 43228584629. The next prime is 43228584671. The reversal of 43228584648 is 84648582234.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

43228584648 is a `hidden beast` number, since 4 + 32 + 28 + 584 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32544881604 + 10683703044 = 180402^2 + 103362^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=147018.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 43228584594 and 43228584603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 188770998 + ... + 188771226.

Almost surely, 243228584648 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 43228584648

43228584648 is an abundant number, since it is smaller than the sum of its proper divisors (75471571017).

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

43228584648 is a wasteful number, since it uses less digits than its factorization.

43228584648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 341 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 43228584648 in words is "forty-three billion, two hundred twenty-eight million, five hundred eighty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 229 321 428 458 642 687 856 916 963 1284 1374 1832 1926 2061 2568 2748 3852 4122 5496 7704 8244 11449 16488 22898 24503 34347 45796 49006 52441 68694 73509 91592 98012 103041 104882 137388 147018 157323 196024 206082 209764 220527 274776 294036 314646 412164 419528 441054 471969 588072 629292 824328 882108 943938 1258584 1764216 1887876 2621821 3775752 5243642 5611187 7865463 10487284 11222374 15730926 16833561 20974568 22444748 23596389 31461852 33667122 44889496 47192778 50500683 62923704 67334244 94385556 101001366 134668488 188771112 202002732 404005464 600397009 1200794018 1801191027 2401588036 3602382054 4803176072 5403573081 7204764108 10807146162 14409528216 21614292324 43228584648