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10728882761 is a prime number
BaseRepresentation
bin10011111110111110…
…11100001001001001
31000200201021201022012
421333133130021021
5133433043222021
64532341105305
7526604666402
oct117737341111
930621251265
1010728882761
1146061a1463
1220b50b8235
13101ca0014c
1473ac989a9
1542bd8835b
hex27f7dc249

10728882761 has 2 divisors, whose sum is σ = 10728882762. Its totient is φ = 10728882760.

The previous prime is 10728882667. The next prime is 10728882799. The reversal of 10728882761 is 16728882701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9730638736 + 998244025 = 98644^2 + 31595^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10728882761 is a prime.

It is not a weakly prime, because it can be changed into another prime (10728887761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5364441380 + 5364441381.

It is an arithmetic number, because the mean of its divisors is an integer number (5364441381).

Almost surely, 210728882761 is an apocalyptic number.

It is an amenable number.

10728882761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10728882761 is an equidigital number, since it uses as much as digits as its factorization.

10728882761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 602112, while the sum is 50.

The spelling of 10728882761 in words is "ten billion, seven hundred twenty-eight million, eight hundred eighty-two thousand, seven hundred sixty-one".