Search a number
-
+
58669269120 = 27325711179739
BaseRepresentation
bin110110101000111101…
…100000000010000000
312121102202120200011100
4312220331200002000
51430123313102440
642541410014400
74144610362560
oct665075400200
9177382520140
1058669269120
1122977300280
12b454277400
1356bcb52677
142ba7c52da0
1517d59e2230
hexda8f60080

58669269120 has 768 divisors, whose sum is σ = 254337408000. Its totient is φ = 12106506240.

The previous prime is 58669269107. The next prime is 58669269121. The reversal of 58669269120 is 2196296685.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (58669269121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79389711 + ... + 79390449.

It is an arithmetic number, because the mean of its divisors is an integer number (331168500).

Almost surely, 258669269120 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 58669269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127168704000).

58669269120 is an abundant number, since it is smaller than the sum of its proper divisors (195668138880).

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

58669269120 is a wasteful number, since it uses less digits than its factorization.

58669269120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 58669269120 in words is "fifty-eight billion, six hundred sixty-nine million, two hundred sixty-nine thousand, one hundred twenty".