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80687243025 = 32522926532
BaseRepresentation
bin100101100100101010…
…1011001111100010001
321201021020021122012100
41023021111121330101
52310221413234100
6101022303351013
75554335151404
oct1131125317421
9251236248170
1080687243025
1131245932a24
1213779bb2469
1377bb6287ac
143c96151d3b
1521739c1400
hex12c9559f11

80687243025 has 81 divisors (see below), whose sum is σ = 149904664819. Its totient is φ = 41485664640.

The previous prime is 80687243011. The next prime is 80687243033. The reversal of 80687243025 is 52034278608.

The square root of 80687243025 is 284055.

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 69257922561 + 11429320464 = 263169^2 + 106908^2 .

It is not a de Polignac number, because 80687243025 - 213 = 80687234833 is a prime.

It is a super-2 number, since 2×806872430252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 123563599 + ... + 123564251.

Almost surely, 280687243025 is an apocalyptic number.

80687243025 is the 284055-th square number.

80687243025 is the 142028-th centered octagonal number.

It is an amenable number.

80687243025 is a deficient number, since it is larger than the sum of its proper divisors (69217421794).

80687243025 is an equidigital number, since it uses as much as digits as its factorization.

80687243025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 80687243025 in words is "eighty billion, six hundred eighty-seven million, two hundred forty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 653 725 841 1305 1959 2175 2523 3265 4205 5877 6525 7569 9795 12615 16325 18937 21025 29385 37845 48975 56811 63075 94685 146925 170433 189225 284055 426409 473425 549173 852165 1279227 1420275 1647519 2132045 2745865 3837681 4260825 4942557 6396135 8237595 10660225 12365861 13729325 19188405 24712785 31980675 37097583 41187975 61829305 95942025 111292749 123563925 185487915 309146525 358609969 556463745 927439575 1075829907 1793049845 2782318725 3227489721 5379149535 8965249225 16137448605 26895747675 80687243025