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10582916293 is a prime number
BaseRepresentation
bin10011101101100101…
…00111110011000101
31000022112121211221201
421312302213303011
5133133211310133
64510044342501
7523153206235
oct116662476305
930275554851
1010582916293
114540864714
122074244a31
13cc86b4161
1472573dcc5
1541e153d7d
hex276ca7cc5

10582916293 has 2 divisors, whose sum is σ = 10582916294. Its totient is φ = 10582916292.

The previous prime is 10582916287. The next prime is 10582916303. The reversal of 10582916293 is 39261928501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7973954209 + 2608962084 = 89297^2 + 51078^2 .

It is a cyclic number.

It is not a de Polignac number, because 10582916293 - 25 = 10582916261 is a prime.

It is a super-2 number, since 2×105829162932 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10582916243) 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, 5291458146 + 5291458147.

It is an arithmetic number, because the mean of its divisors is an integer number (5291458147).

Almost surely, 210582916293 is an apocalyptic number.

It is an amenable number.

10582916293 is a deficient number, since it is larger than the sum of its proper divisors (1).

10582916293 is an equidigital number, since it uses as much as digits as its factorization.

10582916293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 10582916293 in words is "ten billion, five hundred eighty-two million, nine hundred sixteen thousand, two hundred ninety-three".