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18142743025 = 52112312792
BaseRepresentation
bin10000111001011001…
…000100100111110001
31201211101202211122101
4100321121010213301
5244124020234100
612200141540401
71211410525351
oct207131044761
951741684571
1018142743025
117770118400
123623b74701
13193198b304
14c41786b61
15712ba286a
hex4396449f1

18142743025 has 81 divisors (see below), whose sum is σ = 25879052619. Its totient is φ = 12607452000.

The previous prime is 18142743011. The next prime is 18142743049. The reversal of 18142743025 is 52034724181.

The square root of 18142743025 is 134695.

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

It can be written as a sum of positive squares in only one way, i.e., 6531387489 + 11611355536 = 80817^2 + 107756^2 .

It is not a de Polignac number, because 18142743025 - 27 = 18142742897 is a prime.

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, 229654936 + ... + 229655014.

Almost surely, 218142743025 is an apocalyptic number.

18142743025 is the 134695-th square number.

18142743025 is the 67348-th centered octagonal number.

It is an amenable number.

18142743025 is a deficient number, since it is larger than the sum of its proper divisors (7736309594).

18142743025 is an equidigital number, since it uses as much as digits as its factorization.

18142743025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

It can be divided in two parts, 18142 and 743025, that added together give a palindrome (761167).

The spelling of 18142743025 in words is "eighteen billion, one hundred forty-two million, seven hundred forty-three thousand, twenty-five".

Divisors: 1 5 11 25 31 55 79 121 155 275 341 395 605 775 869 961 1705 1975 2449 3025 3751 4345 4805 6241 8525 9559 10571 12245 18755 21725 24025 26939 31205 47795 52855 61225 68651 75919 93775 116281 134695 156025 193471 238975 264275 296329 343255 379595 581405 673475 755161 835109 967355 1481645 1716275 1897975 2128181 2907025 3775805 4175545 4836775 5997601 7408225 9186199 10640905 18879025 20877725 23409991 29988005 45930995 53204525 65973611 117049955 149940025 229654975 329868055 585249775 725709721 1649340275 3628548605 18142743025