Search a number
-
+
68113200000 = 27355311831
BaseRepresentation
bin111111011011110111…
…001111001110000000
320111210221000001212010
4333123313033032000
52103443434400000
651142450132520
74630623435006
oct773367171600
9214727001763
1068113200000
112698314232a
121124ab81140
136566586051
1434221c6a76
151b89b5dd50
hexfdbdcf380

68113200000 has 384 divisors, whose sum is σ = 233565050880. Its totient is φ = 17568000000.

The previous prime is 68113199993. The next prime is 68113200011. The reversal of 68113200000 is 231186.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 68113200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37199085 + ... + 37200915.

It is an arithmetic number, because the mean of its divisors is an integer number (608242320).

Almost surely, 268113200000 is an apocalyptic number.

68113200000 is a gapful number since it is divisible by the number (60) 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 68113200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116782525440).

68113200000 is an abundant number, since it is smaller than the sum of its proper divisors (165451850880).

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

68113200000 is an equidigital number, since it uses as much as digits as its factorization.

68113200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 68113200000 its reverse (231186), we get a palindrome (68113431186).

The spelling of 68113200000 in words is "sixty-eight billion, one hundred thirteen million, two hundred thousand".