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10677827593 is a prime number
BaseRepresentation
bin10011111000111001…
…01011100000001001
31000120011012211210001
421330130223200021
5133332010440333
64523314523001
7525415015456
oct117434534011
930504184701
1010677827593
11458a39aa04
12209bb96461
1310122656a4
147341a882d
15427650b7d
hex27c72b809

10677827593 has 2 divisors, whose sum is σ = 10677827594. Its totient is φ = 10677827592.

The previous prime is 10677827549. The next prime is 10677827597. The reversal of 10677827593 is 39572877601.

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., 6639479289 + 4038348304 = 81483^2 + 63548^2 .

It is a cyclic number.

It is not a de Polignac number, because 10677827593 - 221 = 10675730441 is a prime.

It is a super-2 number, since 2×106778275932 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10677827597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5338913796 + 5338913797.

It is an arithmetic number, because the mean of its divisors is an integer number (5338913797).

Almost surely, 210677827593 is an apocalyptic number.

It is an amenable number.

10677827593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10677827593 is an equidigital number, since it uses as much as digits as its factorization.

10677827593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4445280, while the sum is 55.

The spelling of 10677827593 in words is "ten billion, six hundred seventy-seven million, eight hundred twenty-seven thousand, five hundred ninety-three".