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68648323968 = 27327171273943
BaseRepresentation
bin111111111011110000…
…100100101110000000
320120012012221011221100
4333323300210232000
52111042432331333
651311523454400
74650112061130
oct777360445600
9216165834840
1068648323968
1127128209944
121137a227400
1366203b8453
1434732c2ac0
151bbbb14213
hexffbc24b80

68648323968 has 384 divisors, whose sum is σ = 240986603520. Its totient is φ = 18310053888.

The previous prime is 68648323963. The next prime is 68648323969. The reversal of 68648323968 is 86932384686.

68648323968 is a `hidden beast` number, since 68 + 6 + 483 + 2 + 3 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68648323963) 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, 17408205 + ... + 17412147.

It is an arithmetic number, because the mean of its divisors is an integer number (627569280).

Almost surely, 268648323968 is an apocalyptic number.

68648323968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68648323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120493301760).

68648323968 is an abundant number, since it is smaller than the sum of its proper divisors (172338279552).

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

68648323968 is a wasteful number, since it uses less digits than its factorization.

68648323968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4099 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 68648323968 in words is "sixty-eight billion, six hundred forty-eight million, three hundred twenty-three thousand, nine hundred sixty-eight".