Search a number
-
+
43226077824 = 27322310191601
BaseRepresentation
bin101000010000011110…
…011001101010000000
311010120111111021022100
4220100132121222000
51202011333442244
631505140510400
73060116412336
oct502036315200
9133514437270
1043226077824
1117371aa3066
1284643ab400
1340cb551a57
142140c23b56
1511ced36b69
hexa10799a80

43226077824 has 192 divisors, whose sum is σ = 130004222400. Its totient is φ = 13760102400.

The previous prime is 43226077819. The next prime is 43226077849. The reversal of 43226077824 is 42877062234.

43226077824 is a `hidden beast` number, since 4 + 32 + 2 + 607 + 7 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 43226077824.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26998624 + ... + 27000224.

It is an arithmetic number, because the mean of its divisors is an integer number (677105325).

Almost surely, 243226077824 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 43226077824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65002111200).

43226077824 is an abundant number, since it is smaller than the sum of its proper divisors (86778144576).

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

43226077824 is a wasteful number, since it uses less digits than its factorization.

43226077824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 43226077824 in words is "forty-three billion, two hundred twenty-six million, seventy-seven thousand, eight hundred twenty-four".