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681963841 = 13210937021
BaseRepresentation
bin101000101001011…
…111000101000001
31202112020100112001
4220221133011001
52344040320331
6151400504001
722620411526
oct5051370501
91675210461
10681963841
1131aa50589
1217047b001
13ab395b00
146680114d
153ed0d561
hex28a5f141

681963841 has 12 divisors (see below), whose sum is σ = 745252860. Its totient is φ = 623712960.

The previous prime is 681963829. The next prime is 681963851. The reversal of 681963841 is 148369186.

It can be written as a sum of positive squares in 6 ways, for example, as 174768400 + 507195441 = 13220^2 + 22521^2 .

It is not a de Polignac number, because 681963841 - 211 = 681961793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 681963791 and 681963800.

It is not an unprimeable number, because it can be changed into a prime (681963851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90 + ... + 36931.

It is an arithmetic number, because the mean of its divisors is an integer number (62104405).

Almost surely, 2681963841 is an apocalyptic number.

It is an amenable number.

681963841 is a deficient number, since it is larger than the sum of its proper divisors (63289019).

681963841 is a wasteful number, since it uses less digits than its factorization.

681963841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37156 (or 37143 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 681963841 is about 26114.4374053894. The cubic root of 681963841 is about 880.2116575075.

The spelling of 681963841 in words is "six hundred eighty-one million, nine hundred sixty-three thousand, eight hundred forty-one".

Divisors: 1 13 109 169 1417 18421 37021 481273 4035289 6256549 52458757 681963841