Search a number
-
+
58220328348 = 223271331218493
BaseRepresentation
bin110110001110001100…
…111011010110011100
312120021110211010012100
4312032030323112130
51423213401001343
642425051405100
74130516424420
oct661614732634
9176243733170
1058220328348
1122766948446
12b349a53790
13564ab36b40
142b6438cb80
1517ab3b29d3
hexd8e33b59c

58220328348 has 216 divisors, whose sum is σ = 187171412064. Its totient is φ = 14858691840.

The previous prime is 58220328323. The next prime is 58220328367. The reversal of 58220328348 is 84382302285.

It is a happy number.

58220328348 is a `hidden beast` number, since 5 + 82 + 203 + 28 + 348 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3138990 + ... + 3157482.

Almost surely, 258220328348 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 58220328348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93585706032).

58220328348 is an abundant number, since it is smaller than the sum of its proper divisors (128951083716).

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

58220328348 is a wasteful number, since it uses less digits than its factorization.

58220328348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18585 (or 18549 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 58220328348 in words is "fifty-eight billion, two hundred twenty million, three hundred twenty-eight thousand, three hundred forty-eight".