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10703764681 = 30723372
BaseRepresentation
bin10011111011111111…
…00111110011001001
31000121222000120202221
421331333213303021
5133410130432211
64530042454041
7526151333011
oct117577476311
930558016687
1010703764681
1145a2aa5915
1220a8804321
13101774728c
147377dac41
15429a75c71
hex27dfe7cc9

10703764681 has 9 divisors (see below), whose sum is σ = 10770704199. Its totient is φ = 10637240544.

The previous prime is 10703764667. The next prime is 10703764693. The reversal of 10703764681 is 18646730701.

The square root of 10703764681 is 103459.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2886375625 + 7817389056 = 53725^2 + 88416^2 .

It is not a de Polignac number, because 10703764681 - 213 = 10703756489 is a prime.

It is a super-2 number, since 2×107037646812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10703764651) 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 in 8 ways as a sum of consecutive naturals, for example, 31761745 + ... + 31762081.

It is an arithmetic number, because the mean of its divisors is an integer number (1196744911).

Almost surely, 210703764681 is an apocalyptic number.

10703764681 is the 103459-th square number.

10703764681 is the 51730-th centered octagonal number.

It is an amenable number.

10703764681 is a deficient number, since it is larger than the sum of its proper divisors (66939518).

10703764681 is an frugal number, since it uses more digits than its factorization.

10703764681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 10703764681 in words is "ten billion, seven hundred three million, seven hundred sixty-four thousand, six hundred eighty-one".

Divisors: 1 307 337 94249 103459 113569 31761913 34865683 10703764681