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68343553476 = 22321121722332
BaseRepresentation
bin111111101001100101…
…111101110111000100
320112101222110020102100
4333221211331313010
52104431422202401
651221355312100
74636421422332
oct775145756704
9215358406370
1068343553476
1126a91177300
12112b414b630
1365a220a193
143444a2ab52
151b9eeb1b86
hexfe997ddc4

68343553476 has 243 divisors, whose sum is σ = 202586803783. Its totient is φ = 19408266240.

The previous prime is 68343553403. The next prime is 68343553507. The reversal of 68343553476 is 67435534386.

The square root of 68343553476 is 261426.

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

68343553476 is a `hidden beast` number, since 6 + 8 + 3 + 4 + 35 + 534 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34503876 + 68309049600 = 5874^2 + 261360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 293319856 + ... + 293320088.

Almost surely, 268343553476 is an apocalyptic number.

68343553476 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

68343553476 is the 261426-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68343553476

68343553476 is an abundant number, since it is smaller than the sum of its proper divisors (134243250307).

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

68343553476 is a wasteful number, since it uses less digits than its factorization.

68343553476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 68343553476 in words is "sixty-eight billion, three hundred forty-three million, five hundred fifty-three thousand, four hundred seventy-six".