Search a number
-
+
58924919040 = 28351322931101
BaseRepresentation
bin110110111000001100…
…101110100100000000
312122002120122000220220
4312320030232210000
51431134234402130
643023021303040
74154133355611
oct667014564400
9178076560826
1058924919040
1122a986428a9
12b505a04a80
135730ac2900
142bcdb9dc08
1517ed190410
hexdb832e900

58924919040 has 864 divisors, whose sum is σ = 219763031040. Its totient is φ = 13418496000.

The previous prime is 58924918999. The next prime is 58924919047. The reversal of 58924919040 is 4091942985.

It is not an unprimeable number, because it can be changed into a prime (58924919047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 583414990 + ... + 583415090.

It is an arithmetic number, because the mean of its divisors is an integer number (254355360).

Almost surely, 258924919040 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 58924919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109881515520).

58924919040 is an abundant number, since it is smaller than the sum of its proper divisors (160838112000).

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

58924919040 is a wasteful number, since it uses less digits than its factorization.

58924919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 58924919040 in words is "fifty-eight billion, nine hundred twenty-four million, nine hundred nineteen thousand, forty".