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18630339049 = 72172312372
BaseRepresentation
bin10001010110011101…
…000110100111101001
31210002101021021122101
4101112131012213221
5301123331322144
612320400453401
71226451161200
oct212635064751
953071237571
1018630339049
1179a0382523
12373b31a261
1319ab9bc57a
14c8a430237
157408ba6d4
hex4567469e9

18630339049 has 81 divisors (see below), whose sum is σ = 24448745349. Its totient is φ = 14151594240.

The previous prime is 18630339029. The next prime is 18630339107. The reversal of 18630339049 is 94093303681.

The square root of 18630339049 is 136493.

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 8666306649 + 9964032400 = 93093^2 + 99820^2 .

It is not a de Polignac number, because 18630339049 - 25 = 18630339017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18630339029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 503522659 + ... + 503522695.

Almost surely, 218630339049 is an apocalyptic number.

18630339049 is the 136493-rd square number.

18630339049 is the 68247-th centered octagonal number.

It is an amenable number.

18630339049 is a deficient number, since it is larger than the sum of its proper divisors (5818406300).

18630339049 is an equidigital number, since it uses as much as digits as its factorization.

18630339049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 18630339049 in words is "eighteen billion, six hundred thirty million, three hundred thirty-nine thousand, forty-nine".

Divisors: 1 7 17 31 37 49 119 217 259 289 527 629 833 961 1147 1369 1519 1813 2023 3689 4403 6727 8029 8959 9583 10693 14161 16337 19499 23273 25823 30821 35557 42439 47089 56203 62713 67081 74851 114359 136493 162911 248899 277729 297073 331483 395641 438991 523957 604469 721463 800513 955451 1140377 1315609 1742293 1944103 2079511 2320381 2769487 4231283 5050241 9209263 10275973 12264871 13608721 16242667 19386409 22365353 29618981 35351687 64464841 71931811 85854097 156557471 380211001 503522677 600978679 1095902297 2661477007 18630339049