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58141350000 = 243255472749
BaseRepresentation
bin110110001001011111…
…101001100001110000
312120001222012121021100
4312021133221201300
51423033141200000
642413150524400
74125540215016
oct661137514160
9176058177240
1058141350000
1122726304888
12b327506700
1356376737a6
142b57ab08b6
1517a44b1a00
hexd897e9870

58141350000 has 360 divisors, whose sum is σ = 207783576000. Its totient is φ = 15168960000.

The previous prime is 58141349993. The next prime is 58141350041. The reversal of 58141350000 is 5314185.

58141350000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21148626 + ... + 21151374.

It is an arithmetic number, because the mean of its divisors is an integer number (577176600).

Almost surely, 258141350000 is an apocalyptic number.

58141350000 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 58141350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103891788000).

58141350000 is an abundant number, since it is smaller than the sum of its proper divisors (149642226000).

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

58141350000 is a wasteful number, since it uses less digits than its factorization.

58141350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 58141350000 its reverse (5314185), we get a palindrome (58146664185).

The spelling of 58141350000 in words is "fifty-eight billion, one hundred forty-one million, three hundred fifty thousand".