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6960064329 = 32278092
BaseRepresentation
bin1100111101101101…
…00010011101001001
3122222001120220100100
412132312202131021
5103223234024304
63110350200013
7334322366511
oct63666423511
918861526310
106960064329
112a51858389
121422ab3009
1386bc6277a
144a0522841
152ab07b439
hex19eda2749

6960064329 has 9 divisors (see below), whose sum is σ = 10053787783. Its totient is φ = 4639876032.

The previous prime is 6960064297. The next prime is 6960064337. The reversal of 6960064329 is 9234600696.

The square root of 6960064329 is 83427.

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

6960064329 is a `hidden beast` number, since 6 + 9 + 600 + 6 + 4 + 32 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4924249929 + 2035814400 = 70173^2 + 45120^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 6960064329 - 25 = 6960064297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6960064379) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 236377 + ... + 264185.

Almost surely, 26960064329 is an apocalyptic number.

6960064329 is the 83427-th square number.

6960064329 is the 41714-th centered octagonal number.

It is an amenable number.

6960064329 is a deficient number, since it is larger than the sum of its proper divisors (3093723454).

6960064329 is an frugal number, since it uses more digits than its factorization.

6960064329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55624 (or 27812 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The cubic root of 6960064329 is about 1909.2864241388.

The spelling of 6960064329 in words is "six billion, nine hundred sixty million, sixty-four thousand, three hundred twenty-nine".

Divisors: 1 3 9 27809 83427 250281 773340481 2320021443 6960064329