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7068640320 = 263257547641
BaseRepresentation
bin1101001010101001…
…01110010001000000
3200020121220010121100
412211110232101000
5103434032442240
63125225254400
7340111310550
oct64524562100
920217803540
107068640320
112aa8077105
121453334400
138885b9911
144b0b07160
152b5876e30
hex1a552e440

7068640320 has 336 divisors, whose sum is σ = 27880714368. Its totient is φ = 1610219520.

The previous prime is 7068640213. The next prime is 7068640333. The reversal of 7068640320 is 230468607.

7068640320 is a `hidden beast` number, since 7 + 0 + 6 + 8 + 640 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11027200 + ... + 11027840.

Almost surely, 27068640320 is an apocalyptic number.

7068640320 is a gapful number since it is divisible by the number (70) 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 7068640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13940357184).

7068640320 is an abundant number, since it is smaller than the sum of its proper divisors (20812074048).

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

7068640320 is a wasteful number, since it uses less digits than its factorization.

7068640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7068640320 is about 84075.2063333775. The cubic root of 7068640320 is about 1919.1634376381.

The spelling of 7068640320 in words is "seven billion, sixty-eight million, six hundred forty thousand, three hundred twenty".