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10728887761 is a prime number
BaseRepresentation
bin10011111110111110…
…11101010111010001
31000200201021222011101
421333133131113101
5133433043402021
64532341144401
7526605020104
oct117737352721
930621258141
1010728887761
1146061a5199
1220b50bb101
13101ca024c7
1473ac9a73b
1542bd89a91
hex27f7dd5d1

10728887761 has 2 divisors, whose sum is σ = 10728887762. Its totient is φ = 10728887760.

The previous prime is 10728887707. The next prime is 10728887783. The reversal of 10728887761 is 16778882701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10013004225 + 715883536 = 100065^2 + 26756^2 .

It is a cyclic number.

It is not a de Polignac number, because 10728887761 - 227 = 10594670033 is a prime.

It is not a weakly prime, because it can be changed into another prime (10728887261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5364443880 + 5364443881.

It is an arithmetic number, because the mean of its divisors is an integer number (5364443881).

Almost surely, 210728887761 is an apocalyptic number.

It is an amenable number.

10728887761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10728887761 is an equidigital number, since it uses as much as digits as its factorization.

10728887761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2107392, while the sum is 55.

The spelling of 10728887761 in words is "ten billion, seven hundred twenty-eight million, eight hundred eighty-seven thousand, seven hundred sixty-one".