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10680864769 is a prime number
BaseRepresentation
bin10011111001010000…
…10001000000000001
31000120100221011000001
421330220101000001
5133333300133034
64523504000001
7525452565301
oct117450210001
930510834001
1010680864769
114591084873
1220a1000001
131012a89c33
14734759601
15427a50a14
hex27ca11001

10680864769 has 2 divisors, whose sum is σ = 10680864770. Its totient is φ = 10680864768.

The previous prime is 10680864721. The next prime is 10680864793. The reversal of 10680864769 is 96746808601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6548046400 + 4132818369 = 80920^2 + 64287^2 .

It is a cyclic number.

It is not a de Polignac number, because 10680864769 - 217 = 10680733697 is a prime.

It is a super-2 number, since 2×106808647692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10680864569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5340432384 + 5340432385.

It is an arithmetic number, because the mean of its divisors is an integer number (5340432385).

Almost surely, 210680864769 is an apocalyptic number.

It is an amenable number.

10680864769 is a deficient number, since it is larger than the sum of its proper divisors (1).

10680864769 is an equidigital number, since it uses as much as digits as its factorization.

10680864769 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 55.

The spelling of 10680864769 in words is "ten billion, six hundred eighty million, eight hundred sixty-four thousand, seven hundred sixty-nine".