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9980677326841 = 13273233292
BaseRepresentation
bin1001000100111100111010…
…1110100000011111111001
31022100010212120012202022221
42101033032232200133321
52302010411343424331
633121020533044041
72050036326340234
oct221171656403771
938303776182287
109980677326841
1131a8866178751
1211523a4786621
13575234bb1c00
142670d2b9c41b
151249488bb711
hex913ceba07f9

9980677326841 has 27 divisors (see below), whose sum is σ = 10960847240679. Its totient is φ = 9083998789632.

The previous prime is 9980677326839. The next prime is 9980677326923. The reversal of 9980677326841 is 1486237760899.

It is a happy number.

The square root of 9980677326841 is 3159221.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8795845076841 + 1184832250000 = 2965779^2 + 1088500^2 .

It is not a de Polignac number, because 9980677326841 - 21 = 9980677326839 is a prime.

It is a super-4 number, since 4×99806773268414 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9980677326541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2998099065 + ... + 2998102393.

Almost surely, 29980677326841 is an apocalyptic number.

9980677326841 is the 3159221-st square number.

9980677326841 is the 1579611-st centered octagonal number.

It is an amenable number.

9980677326841 is a deficient number, since it is larger than the sum of its proper divisors (980169913838).

9980677326841 is an frugal number, since it uses more digits than its factorization.

9980677326841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 70.

The spelling of 9980677326841 in words is "nine trillion, nine hundred eighty billion, six hundred seventy-seven million, three hundred twenty-six thousand, eight hundred forty-one".

Divisors: 1 13 73 169 949 3329 5329 12337 43277 69277 243017 562601 900601 3159221 11082241 17740241 41069873 144069133 230623133 809003593 1872898729 2998100729 10517046709 59057262289 136721607217 767744409757 9980677326841