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2782072897 = 3128773301
BaseRepresentation
bin1010010111010011…
…0001000001000001
321011212221221112221
42211310301001001
521144202313042
61140021251041
7125641141462
oct24564610101
97155857487
102782072897
1111a84535aa
12657863a81
133544c14a6
141c56b8d69
15114397d67
hexa5d31041

2782072897 has 12 divisors (see below), whose sum is σ = 2878861908. Its totient is φ = 2688444000.

The previous prime is 2782072889. The next prime is 2782072901. The reversal of 2782072897 is 7982702872.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1480017841 + 1302055056 = 38471^2 + 36084^2 .

It is not a de Polignac number, because 2782072897 - 23 = 2782072889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2782072817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841147 + ... + 844447.

It is an arithmetic number, because the mean of its divisors is an integer number (239905159).

Almost surely, 22782072897 is an apocalyptic number.

It is an amenable number.

2782072897 is a deficient number, since it is larger than the sum of its proper divisors (96789011).

2782072897 is an equidigital number, since it uses as much as digits as its factorization.

2782072897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 52.

The square root of 2782072897 is about 52745.3590091109. The cubic root of 2782072897 is about 1406.4452644949.

The spelling of 2782072897 in words is "two billion, seven hundred eighty-two million, seventy-two thousand, eight hundred ninety-seven".

Divisors: 1 31 877 961 3301 27187 102331 842797 2894977 3172261 89744287 2782072897