Search a number
-
+
10682249778 = 23217214332
BaseRepresentation
bin10011111001011011…
…00011001000110010
31000120110112111212200
421330231203020302
5133334123443103
64523553404030
7525500424234
oct117455431062
930513474780
1010682249778
114591940402
1220a1569616
131013153475
147349da254
15427c260a3
hex27cb63232

10682249778 has 54 divisors (see below), whose sum is σ = 24603593079. Its totient is φ = 3348955392.

The previous prime is 10682249717. The next prime is 10682249783. The reversal of 10682249778 is 87794228601.

It is a happy number.

10682249778 is a `hidden beast` number, since 1 + 0 + 6 + 82 + 2 + 497 + 78 = 666.

10682249778 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 10501535529 + 180714249 = 102477^2 + 13443^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=73083.

It is a super-2 number, since 2×106822497782 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7453750 + ... + 7455182.

Almost surely, 210682249778 is an apocalyptic number.

10682249778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10682249778

10682249778 is an abundant number, since it is smaller than the sum of its proper divisors (13921343301).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10682249778 is an equidigital number, since it uses as much as digits as its factorization.

10682249778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 10682249778 in words is "ten billion, six hundred eighty-two million, two hundred forty-nine thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1433 1734 2601 2866 4299 5202 8598 12897 24361 25794 48722 73083 146166 219249 414137 438498 828274 1242411 2053489 2484822 3727233 4106978 6160467 7454466 12320934 18481401 34909313 36962802 69818626 104727939 209455878 314183817 593458321 628367634 1186916642 1780374963 3560749926 5341124889 10682249778