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68236273224 = 233272331189887
BaseRepresentation
bin111111100011001100…
…101110011001001000
320112010111120211120200
4333203030232121020
52104221441220344
651203004052200
74633646516040
oct774314563110
9215114524520
1068236273224
1126a36663039
1211284234060
136585c17a42
1434346a2720
151b95870069
hexfe332e648

68236273224 has 192 divisors, whose sum is σ = 227501015040. Its totient is φ = 18046765440.

The previous prime is 68236273223. The next prime is 68236273253. The reversal of 68236273224 is 42237263286.

68236273224 is a `hidden beast` number, since 68 + 2 + 362 + 7 + 3 + 224 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68236273224.

It is not an unprimeable number, because it can be changed into a prime (68236273223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 264409 + ... + 454295.

It is an arithmetic number, because the mean of its divisors is an integer number (1184901120).

Almost surely, 268236273224 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 68236273224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113750507520).

68236273224 is an abundant number, since it is smaller than the sum of its proper divisors (159264741816).

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

68236273224 is a wasteful number, since it uses less digits than its factorization.

68236273224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189960 (or 189953 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 68236273224 in words is "sixty-eight billion, two hundred thirty-six million, two hundred seventy-three thousand, two hundred twenty-four".