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8069709960 = 233251310691613
BaseRepresentation
bin1111000001111111…
…00000000010001000
3202211101120201222200
413200333200002020
5113011321204320
63412425520200
7403655255124
oct74077400210
922741521880
108069709960
113471160594
121692643060
139b7b0c910
14567a52584
153236ba290
hex1e0fe0088

8069709960 has 192 divisors, whose sum is σ = 28287932400. Its totient is φ = 1983301632.

The previous prime is 8069709937. The next prime is 8069710043. The reversal of 8069709960 is 699079608.

It can be written as a sum of positive squares in 8 ways, for example, as 2320734276 + 5748975684 = 48174^2 + 75822^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8069709897 and 8069709906.

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, 5002114 + ... + 5003726.

Almost surely, 28069709960 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 8069709960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14143966200).

8069709960 is an abundant number, since it is smaller than the sum of its proper divisors (20218222440).

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

8069709960 is a wasteful number, since it uses less digits than its factorization.

8069709960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 8069709960 is about 89831.5643857993. The cubic root of 8069709960 is about 2005.7923713551.

The spelling of 8069709960 in words is "eight billion, sixty-nine million, seven hundred nine thousand, nine hundred sixty".