Search a number
-
+
59055221792 = 2572172194
BaseRepresentation
bin110110111111111101…
…110010110000100000
312122102122211002200202
4312333331302300200
51431421114044132
643043554204332
74160305050200
oct667775626040
9178378732622
1059055221792
1123055151226
12b5415836a8
135751ab6128
142c031dc400
15180982d762
hexdbff72c20

59055221792 has 270 divisors, whose sum is σ = 151652336157. Its totient is φ = 22566878208.

The previous prime is 59055221789. The next prime is 59055221873. The reversal of 59055221792 is 29712255095.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 54048810256 + 5006411536 = 232484^2 + 70756^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=171836.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3108169559 + ... + 3108169577.

Almost surely, 259055221792 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 59055221792

59055221792 is an abundant number, since it is smaller than the sum of its proper divisors (92597114365).

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

59055221792 is an frugal number, since it uses more digits than its factorization.

59055221792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 47.

The spelling of 59055221792 in words is "fifty-nine billion, fifty-five million, two hundred twenty-one thousand, seven hundred ninety-two".