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2540777933 is a prime number
BaseRepresentation
bin1001011101110001…
…0011000111001101
320120001220220002102
42113130103013031
520200414343213
61100041404445
7116651153561
oct22734230715
96501826072
102540777933
111094226081
125aaa99725
133165090c5
141a16276a1
15ed0d3158
hex977131cd

2540777933 has 2 divisors, whose sum is σ = 2540777934. Its totient is φ = 2540777932.

The previous prime is 2540777923. The next prime is 2540777969. The reversal of 2540777933 is 3397770452.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1724990089 + 815787844 = 41533^2 + 28562^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2540777933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2540777923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270388966 + 1270388967.

It is an arithmetic number, because the mean of its divisors is an integer number (1270388967).

Almost surely, 22540777933 is an apocalyptic number.

It is an amenable number.

2540777933 is a deficient number, since it is larger than the sum of its proper divisors (1).

2540777933 is an equidigital number, since it uses as much as digits as its factorization.

2540777933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1111320, while the sum is 47.

The square root of 2540777933 is about 50406.1299149221. The cubic root of 2540777933 is about 1364.5482693473.

The spelling of 2540777933 in words is "two billion, five hundred forty million, seven hundred seventy-seven thousand, nine hundred thirty-three".