Search a number
-
+
58240678608 = 24327317126251
BaseRepresentation
bin110110001111011010…
…100011101011010000
312120022220010000111200
4312033122203223100
51423234103203413
642431055511200
74131154412550
oct661732435320
9176286100450
1058240678608
1122777387942
12b354828500
135652110808
142b66d69160
1517ad082573
hexd8f6a3ad0

58240678608 has 240 divisors, whose sum is σ = 195002376192. Its totient is φ = 15876000000.

The previous prime is 58240678597. The next prime is 58240678621. The reversal of 58240678608 is 80687604285.

58240678608 is a `hidden beast` number, since 5 + 8 + 24 + 0 + 6 + 7 + 8 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2205483 + ... + 2231733.

Almost surely, 258240678608 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 58240678608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97501188096).

58240678608 is an abundant number, since it is smaller than the sum of its proper divisors (136761697584).

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

58240678608 is a wasteful number, since it uses less digits than its factorization.

58240678608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26374 (or 26365 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 58240678608 in words is "fifty-eight billion, two hundred forty million, six hundred seventy-eight thousand, six hundred eight".