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58005000000 = 2632571289
BaseRepresentation
bin110110000001010111…
…100000111101000000
312112201110122022020100
4312001113200331000
51422243240000000
642351440242400
74122263236113
oct660127407500
9175643568210
1058005000000
1122666346032
12b2a9910400
13561534390c
142b4393a57a
15179752ba00
hexd815e0f40

58005000000 has 336 divisors, whose sum is σ = 207986772240. Its totient is φ = 15456000000.

The previous prime is 58004999999. The next prime is 58005000017. The reversal of 58005000000 is 50085.

It can be written as a sum of positive squares in 8 ways, for example, as 51962114304 + 6042885696 = 227952^2 + 77736^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44999356 + ... + 45000644.

Almost surely, 258005000000 is an apocalyptic number.

58005000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103993386120).

58005000000 is an abundant number, since it is smaller than the sum of its proper divisors (149981772240).

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

58005000000 is an frugal number, since it uses more digits than its factorization.

58005000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 58005000000 its reverse (50085), we get a palindrome (58005050085).

The spelling of 58005000000 in words is "fifty-eight billion, five million", and thus it is an aban number and an uban number.