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7685766961 is a prime number
BaseRepresentation
bin1110010100001101…
…10111111100110001
3201211122010102012121
413022012313330301
5111220024020321
63310352354241
7361313640565
oct71206677461
921748112177
107685766961
113294462524
1215a5b45981
13956400b02
1452ca6b6a5
152eeb29441
hex1ca1b7f31

7685766961 has 2 divisors, whose sum is σ = 7685766962. Its totient is φ = 7685766960.

The previous prime is 7685766941. The next prime is 7685766973. The reversal of 7685766961 is 1696675867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4140279025 + 3545487936 = 64345^2 + 59544^2 .

It is an emirp because it is prime and its reverse (1696675867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7685766961 - 219 = 7685242673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7685766961.

It is not a weakly prime, because it can be changed into another prime (7685766911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3842883480 + 3842883481.

It is an arithmetic number, because the mean of its divisors is an integer number (3842883481).

Almost surely, 27685766961 is an apocalyptic number.

It is an amenable number.

7685766961 is a deficient number, since it is larger than the sum of its proper divisors (1).

7685766961 is an equidigital number, since it uses as much as digits as its factorization.

7685766961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22861440, while the sum is 61.

The square root of 7685766961 is about 87668.5060954046. The cubic root of 7685766961 is about 1973.4633744088.

The spelling of 7685766961 in words is "seven billion, six hundred eighty-five million, seven hundred sixty-six thousand, nine hundred sixty-one".