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782040649409 is a prime number
BaseRepresentation
bin10110110000101010100…
…00010100111011000001
32202202120202110012110122
423120111100110323001
5100303104401240114
61355133045110025
7110333460561215
oct13302520247301
92682522405418
10782040649409
11281730616898
121076939b8315
13589912ac3c6
1429bcb0ba945
15155217b7e8e
hexb615414ec1

782040649409 has 2 divisors, whose sum is σ = 782040649410. Its totient is φ = 782040649408.

The previous prime is 782040649393. The next prime is 782040649447. The reversal of 782040649409 is 904946040287.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 764842949809 + 17197699600 = 874553^2 + 131140^2 .

It is a cyclic number.

It is not a de Polignac number, because 782040649409 - 24 = 782040649393 is a prime.

It is a super-2 number, since 2×7820406494092 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (782040649309) 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, 391020324704 + 391020324705.

It is an arithmetic number, because the mean of its divisors is an integer number (391020324705).

Almost surely, 2782040649409 is an apocalyptic number.

It is an amenable number.

782040649409 is a deficient number, since it is larger than the sum of its proper divisors (1).

782040649409 is an equidigital number, since it uses as much as digits as its factorization.

782040649409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 782040649409 in words is "seven hundred eighty-two billion, forty million, six hundred forty-nine thousand, four hundred nine".