Search a number
-
+
58949575920 = 243252316321839
BaseRepresentation
bin110110111001101010…
…110010010011110000
312122011022000201210200
4312321222302103300
51431212042412140
643025301555200
74154553061554
oct667152622360
9178138021720
1058949575920
1123000553994
12b512115b00
135735c46891
142bd317b864
151800411030
hexdb9ab24f0

58949575920 has 240 divisors, whose sum is σ = 207856696320. Its totient is φ = 14943481344.

The previous prime is 58949575843. The next prime is 58949575957. The reversal of 58949575920 is 2957594985.

58949575920 is a `hidden beast` number, since 58 + 9 + 4 + 9 + 575 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×589495759202 (a number of 22 digits) contains 22 as substring.

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, 2688361 + ... + 2710199.

It is an arithmetic number, because the mean of its divisors is an integer number (866069568).

Almost surely, 258949575920 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 58949575920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103928348160).

58949575920 is an abundant number, since it is smaller than the sum of its proper divisors (148907120400).

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

58949575920 is a wasteful number, since it uses less digits than its factorization.

58949575920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22044 (or 22035 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 58949575920 in words is "fifty-eight billion, nine hundred forty-nine million, five hundred seventy-five thousand, nine hundred twenty".