Search a number
-
+
68055243876 = 223648312
BaseRepresentation
bin111111011000011010…
…001001110001100100
320111122212221121000000
4333120122021301210
52103334120301001
651133020021300
74626321012504
oct773032116144
9214585847000
1068055243876
1126953458004
1211233691830
136557573499
14341861ba04
151b84a11a86
hexfd8689c64

68055243876 has 63 divisors (see below), whose sum is σ = 178600299843. Its totient is φ = 22680385560.

The previous prime is 68055243833. The next prime is 68055243889. The reversal of 68055243876 is 67834255086.

The square root of 68055243876 is 260874.

It is a perfect power (a square), and thus also a powerful number.

68055243876 is a `hidden beast` number, since 6 + 8 + 0 + 552 + 4 + 3 + 87 + 6 = 666.

68055243876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 14084781 + ... + 14089611.

Almost surely, 268055243876 is an apocalyptic number.

68055243876 is the 260874-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68055243876

68055243876 is an abundant number, since it is smaller than the sum of its proper divisors (110545055967).

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

68055243876 is an frugal number, since it uses more digits than its factorization.

68055243876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9684 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 68055243876 in words is "sixty-eight billion, fifty-five million, two hundred forty-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4831 9662 14493 19324 28986 43479 57972 86958 130437 173916 260874 391311 521748 782622 1173933 1565244 2347866 3521799 4695732 7043598 14087196 23338561 46677122 70015683 93354244 140031366 210047049 280062732 420094098 630141147 840188196 1260282294 1890423441 2520564588 3780846882 5671270323 7561693764 11342540646 17013810969 22685081292 34027621938 68055243876