Search a number
-
+
58063948800 = 210352111317311
BaseRepresentation
bin110110000100111000…
…011000110000000000
312112212120120012210020
4312010320120300000
51422403332330200
642401343533440
74123610264364
oct660470306000
9175776505706
1058063948800
1122696649150
12b3055ba280
135624613270
142b4b6c32a4
15179c7c2ea0
hexd84e18c00

58063948800 has 1056 divisors, whose sum is σ = 239483672064. Its totient is φ = 12189696000.

The previous prime is 58063948751. The next prime is 58063948843. The reversal of 58063948800 is 884936085.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186700645 + ... + 186700955.

Almost surely, 258063948800 is an apocalyptic number.

58063948800 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 58063948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119741836032).

58063948800 is an abundant number, since it is smaller than the sum of its proper divisors (181419723264).

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

58063948800 is a wasteful number, since it uses less digits than its factorization.

58063948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 58063948800 in words is "fifty-eight billion, sixty-three million, nine hundred forty-eight thousand, eight hundred".