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6782200009 = 13240131361
BaseRepresentation
bin1100101000100000…
…00010100011001001
3122111122220110100221
412110100002203021
5102342220400014
63040554030041
7330032514604
oct62420024311
918448813327
106782200009
112970414282
121393418321
13841158a00
14484a6333b
1529a645b24
hex1944028c9

6782200009 has 6 divisors (see below), whose sum is σ = 7344039246. Its totient is φ = 6260492160.

The previous prime is 6782199979. The next prime is 6782200013. The reversal of 6782200009 is 9000022876.

It can be written as a sum of positive squares in 3 ways, for example, as 164865600 + 6617334409 = 12840^2 + 81347^2 .

It is not a de Polignac number, because 6782200009 - 213 = 6782191817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6782210009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20065512 + ... + 20065849.

It is an arithmetic number, because the mean of its divisors is an integer number (1224006541).

Almost surely, 26782200009 is an apocalyptic number.

It is an amenable number.

6782200009 is a deficient number, since it is larger than the sum of its proper divisors (561839237).

6782200009 is a wasteful number, since it uses less digits than its factorization.

6782200009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40131387 (or 40131374 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 6782200009 is about 82354.1134916769. The cubic root of 6782200009 is about 1892.8819547747.

The spelling of 6782200009 in words is "six billion, seven hundred eighty-two million, two hundred thousand, nine".

Divisors: 1 13 169 40131361 521707693 6782200009