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10677827549 is a prime number
BaseRepresentation
bin10011111000111001…
…01011011111011101
31000120011012211201102
421330130223133131
5133332010440144
64523314522445
7525415015364
oct117434533735
930504184642
1010677827549
11458a39a974
12209bb96425
13101226566c
147341a87db
15427650b4e
hex27c72b7dd

10677827549 has 2 divisors, whose sum is σ = 10677827550. Its totient is φ = 10677827548.

The previous prime is 10677827513. The next prime is 10677827593. The reversal of 10677827549 is 94572877601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8769011449 + 1908816100 = 93643^2 + 43690^2 .

It is a cyclic number.

It is not a de Polignac number, because 10677827549 - 216 = 10677762013 is a prime.

It is a super-2 number, since 2×106778275492 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10677827494 and 10677827503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10677821549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5338913774 + 5338913775.

It is an arithmetic number, because the mean of its divisors is an integer number (5338913775).

Almost surely, 210677827549 is an apocalyptic number.

It is an amenable number.

10677827549 is a deficient number, since it is larger than the sum of its proper divisors (1).

10677827549 is an equidigital number, since it uses as much as digits as its factorization.

10677827549 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5927040, while the sum is 56.

The spelling of 10677827549 in words is "ten billion, six hundred seventy-seven million, eight hundred twenty-seven thousand, five hundred forty-nine".