Search a number
-
+
68143486320 = 243257131924367
BaseRepresentation
bin111111011101101010…
…110001010101110000
320111220000222202212200
4333131222301111300
52104024213030240
651145451223200
74631442035220
oct773552612560
9214800882780
1068143486320
1126999248948
1211259147b00
13656c92b450
14342622c080
151b8c642930
hexfddab1570

68143486320 has 1440 divisors, whose sum is σ = 308717240832. Its totient is φ = 13105483776.

The previous prime is 68143486303. The next prime is 68143486483. The reversal of 68143486320 is 2368434186.

68143486320 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 3 + 4 + 8 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1017066927 + ... + 1017066993.

Almost surely, 268143486320 is an apocalyptic number.

68143486320 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 68143486320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154358620416).

68143486320 is an abundant number, since it is smaller than the sum of its proper divisors (240573754512).

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

68143486320 is a wasteful number, since it uses less digits than its factorization.

68143486320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 68143486320 in words is "sixty-eight billion, one hundred forty-three million, four hundred eighty-six thousand, three hundred twenty".