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10836739314 = 2322997214021
BaseRepresentation
bin10100001011110101…
…11000010011110010
31000222020020101200100
422011322320103302
5134143201124224
64551152533230
7532354523112
oct120572702362
930866211610
1010836739314
114661069705
122125251216
1310391649ab
1474b333042
15436590ac9
hex285eb84f2

10836739314 has 48 divisors (see below), whose sum is σ = 24539762520. Its totient is φ = 3451714560.

The previous prime is 10836739307. The next prime is 10836739337. The reversal of 10836739314 is 41393763801.

10836739314 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 4 ways, for example, as 7410627225 + 3426112089 = 86085^2 + 58533^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10836739314.

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 23 ways as a sum of consecutive naturals, for example, 56377 + ... + 157644.

Almost surely, 210836739314 is an apocalyptic number.

10836739314 is an abundant number, since it is smaller than the sum of its proper divisors (13703023206).

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

10836739314 is a wasteful number, since it uses less digits than its factorization.

10836739314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214155 (or 214152 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10836739314 in words is "ten billion, eight hundred thirty-six million, seven hundred thirty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 97 174 194 261 291 522 582 873 1746 2813 5626 8439 16878 25317 50634 214021 428042 642063 1284126 1926189 3852378 6206609 12413218 18619827 20760037 37239654 41520074 55859481 62280111 111718962 124560222 186840333 373680666 602041073 1204082146 1806123219 3612246438 5418369657 10836739314