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6865920961 is a prime number
BaseRepresentation
bin1100110010011110…
…11010001111000001
3122201111102220220221
412121033122033001
5103030133432321
63053144303041
7332100236164
oct63117321701
918644386827
106865920961
112a036a7049
1213b7471a81
138555bc933
14491c17adb
152a2b81e41
hex1993da3c1

6865920961 has 2 divisors, whose sum is σ = 6865920962. Its totient is φ = 6865920960.

The previous prime is 6865920949. The next prime is 6865920973. The reversal of 6865920961 is 1690295686.

It is a balanced prime because it is at equal distance from previous prime (6865920949) and next prime (6865920973).

It can be written as a sum of positive squares in only one way, i.e., 6181104400 + 684816561 = 78620^2 + 26169^2 .

It is a cyclic number.

It is not a de Polignac number, because 6865920961 - 213 = 6865912769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6865920899 and 6865920908.

It is not a weakly prime, because it can be changed into another prime (6865920361) 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, 3432960480 + 3432960481.

It is an arithmetic number, because the mean of its divisors is an integer number (3432960481).

Almost surely, 26865920961 is an apocalyptic number.

6865920961 is the 37057-th centered decagonal number.

It is an amenable number.

6865920961 is a deficient number, since it is larger than the sum of its proper divisors (1).

6865920961 is an equidigital number, since it uses as much as digits as its factorization.

6865920961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1399680, while the sum is 52.

The square root of 6865920961 is about 82860.8530067124. The cubic root of 6865920961 is about 1900.6388397486.

The spelling of 6865920961 in words is "six billion, eight hundred sixty-five million, nine hundred twenty thousand, nine hundred sixty-one".