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10656549329 is a prime number
BaseRepresentation
bin10011110110010111…
…00000100111010001
31000111200011210111012
421323023200213101
5133311034034304
64521234500305
7525036113636
oct117313404721
930450153435
1010656549329
114579387268
122094a34695
13100aa254ba
1473142a18d
1542584b16e
hex27b2e09d1

10656549329 has 2 divisors, whose sum is σ = 10656549330. Its totient is φ = 10656549328.

The previous prime is 10656549307. The next prime is 10656549349. The reversal of 10656549329 is 92394565601.

10656549329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9577558225 + 1078991104 = 97865^2 + 32848^2 .

It is a cyclic number.

It is not a de Polignac number, because 10656549329 - 28 = 10656549073 is a prime.

It is a super-2 number, since 2×106565493292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10656549349) 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, 5328274664 + 5328274665.

It is an arithmetic number, because the mean of its divisors is an integer number (5328274665).

Almost surely, 210656549329 is an apocalyptic number.

It is an amenable number.

10656549329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10656549329 is an equidigital number, since it uses as much as digits as its factorization.

10656549329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1749600, while the sum is 50.

The spelling of 10656549329 in words is "ten billion, six hundred fifty-six million, five hundred forty-nine thousand, three hundred twenty-nine".