Search a number
-
+
68351360032 = 2547108741809
BaseRepresentation
bin111111101010000011…
…101111110000100000
320112102112010212000001
4333222003233300200
52104440422010112
651222234505344
74636544655064
oct775203576040
9215375125001
1068351360032
1126a956194aa
12112b6895254
1365a3a11547
143445a9daa4
151ba0a04c57
hexfea0efc20

68351360032 has 48 divisors (see below), whose sum is σ = 137559582720. Its totient is φ = 33416967168.

The previous prime is 68351360009. The next prime is 68351360041. The reversal of 68351360032 is 23006315386.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 68351359973 and 68351360000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1613944 + ... + 1655752.

It is an arithmetic number, because the mean of its divisors is an integer number (2865824640).

Almost surely, 268351360032 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 68351360032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68779791360).

68351360032 is an abundant number, since it is smaller than the sum of its proper divisors (69208222688).

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

68351360032 is a wasteful number, since it uses less digits than its factorization.

68351360032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42953 (or 42945 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 68351360032 in words is "sixty-eight billion, three hundred fifty-one million, three hundred sixty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1087 1504 2174 4348 8696 17392 34784 41809 51089 83618 102178 167236 204356 334472 408712 668944 817424 1337888 1634848 1965023 3930046 7860092 15720184 31440368 45446383 62880736 90892766 181785532 363571064 727142128 1454284256 2135980001 4271960002 8543920004 17087840008 34175680016 68351360032