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68631056640 = 2832529205433
BaseRepresentation
bin111111111010101110…
…101101000100000000
320120011000102220121200
4333322232231010000
52111024022303030
651310105421200
74646512233066
oct777256550400
9216130386550
1068631056640
1127119495723
121137449a800
136619950ab3
143470caa036
151bba352d60
hexffabad100

68631056640 has 216 divisors, whose sum is σ = 245645651160. Its totient is φ = 17670438912.

The previous prime is 68631056633. The next prime is 68631056647. The reversal of 68631056640 is 4665013686.

68631056640 is a `hidden beast` number, since 6 + 8 + 631 + 0 + 5 + 6 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68631056633) and next prime (68631056647).

It can be written as a sum of positive squares in 4 ways, for example, as 9663676416 + 58967380224 = 98304^2 + 242832^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (68631056647) 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 23 ways as a sum of consecutive naturals, for example, 231364 + ... + 436796.

It is an arithmetic number, because the mean of its divisors is an integer number (1137248385).

Almost surely, 268631056640 is an apocalyptic number.

68631056640 is a gapful number since it is divisible by the number (60) 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 68631056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122822825580).

68631056640 is an abundant number, since it is smaller than the sum of its proper divisors (177014594520).

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

68631056640 is a wasteful number, since it uses less digits than its factorization.

68631056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205489 (or 205472 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 68631056640 in words is "sixty-eight billion, six hundred thirty-one million, fifty-six thousand, six hundred forty".