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2680486053961 = 17219324992
BaseRepresentation
bin100111000000011001011…
…010110100100001001001
3100111020210200102002010211
4213000121122310201021
5322404113412211321
65411222010441121
7364441641345442
oct47003132644111
910436720362124
102680486053961
11943873551a51
123735b54331a1
131659cbc37a81
1493a442742c9
1549ad3d2a0e1
hex270196b4849

2680486053961 has 27 divisors (see below), whose sum is σ = 2868014244501. Its totient is φ = 2504709310464.

The previous prime is 2680486053941. The next prime is 2680486053977. The reversal of 2680486053961 is 1693506840862.

The square root of 2680486053961 is 1637219.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1633695561 + 2678852358400 = 40419^2 + 1636720^2 .

It is not a de Polignac number, because 2680486053961 - 227 = 2680351836233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2680486053896 and 2680486053905.

It is not an unprimeable number, because it can be changed into a prime (2680486053901) by changing a digit.

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, 5371715290 + ... + 5371715788.

Almost surely, 22680486053961 is an apocalyptic number.

2680486053961 is the 1637219-th square number.

2680486053961 is the 818610-th centered octagonal number.

It is an amenable number.

2680486053961 is a deficient number, since it is larger than the sum of its proper divisors (187528190540).

2680486053961 is an frugal number, since it uses more digits than its factorization.

2680486053961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 2680486053961 in words is "two trillion, six hundred eighty billion, four hundred eighty-six million, fifty-three thousand, nine hundred sixty-one".

Divisors: 1 17 193 289 499 3281 8483 37249 55777 96307 144211 249001 633233 1637219 4233017 10764961 18587251 27832723 48057193 71961289 315983267 816972281 5371715539 9275038249 13888528777 157675650233 2680486053961