Search a number
-
+
68222619648 = 2123219257379
BaseRepresentation
bin111111100010011000…
…101001000000000000
320112002112220011101200
4333202120221000000
52104204442312043
651201355301200
74633422461511
oct774230510000
9215075804350
1068222619648
1126a29987997
121127b74a800
1365831471c1
14343294aa08
151b945747d3
hexfe2629000

68222619648 has 312 divisors, whose sum is σ = 208791866400. Its totient is φ = 21403533312.

The previous prime is 68222619643. The next prime is 68222619671. The reversal of 68222619648 is 84691622286.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 68222619594 and 68222619603.

It is not an unprimeable number, because it can be changed into a prime (68222619643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180006723 + ... + 180007101.

It is an arithmetic number, because the mean of its divisors is an integer number (669204700).

Almost surely, 268222619648 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 68222619648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104395933200).

68222619648 is an abundant number, since it is smaller than the sum of its proper divisors (140569246752).

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

68222619648 is a wasteful number, since it uses less digits than its factorization.

68222619648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 660 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 68222619648 in words is "sixty-eight billion, two hundred twenty-two million, six hundred nineteen thousand, six hundred forty-eight".