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68419398656 = 2107311631889
BaseRepresentation
bin111111101110000111…
…010010110000000000
320112121021011120110002
4333232013102300000
52110110331224111
651233105055132
74641332202320
oct775607226000
9215537146402
1068419398656
112701aa6a974
12113156274a8
1365b4b4439b
143450b31280
151ba699463b
hexfee1d2c00

68419398656 has 176 divisors, whose sum is σ = 162428958720. Its totient is φ = 28187688960.

The previous prime is 68419398643. The next prime is 68419398667. The reversal of 68419398656 is 65689391486.

It is a super-2 number, since 2×684193986562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68419398592 and 68419398601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36218960 + ... + 36220848.

Almost surely, 268419398656 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 68419398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81214479360).

68419398656 is an abundant number, since it is smaller than the sum of its proper divisors (94009560064).

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

68419398656 is a wasteful number, since it uses less digits than its factorization.

68419398656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2092 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 65.

The spelling of 68419398656 in words is "sixty-eight billion, four hundred nineteen million, three hundred ninety-eight thousand, six hundred fifty-six".