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19938412910025 = 32522976832
BaseRepresentation
bin1001000100010010001100…
…00001001101010111001001
32121121002112021111011202100
410202021012001031113021
510103132332201110100
6110223325213024013
74125334313263461
oct442110601152711
977532467434670
1019938412910025
116397919326875
1222a0246185009
13b18251ac106c
144cd04aab4ba1
1524899d134400
hex12224604d5c9

19938412910025 has 27 divisors (see below), whose sum is σ = 35712032867719. Its totient is φ = 10633784496720.

The previous prime is 19938412909999. The next prime is 19938412910047. The reversal of 19938412910025 is 52001921483991.

It is a happy number.

The square root of 19938412910025 is 4465245.

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

19938412910025 is a `hidden beast` number, since 1 + 99 + 38 + 412 + 9 + 100 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7177828647609 + 12760584262416 = 2679147^2 + 3572196^2 .

It is not a de Polignac number, because 19938412910025 - 223 = 19938404521417 is a prime.

It is a super-3 number, since 3×199384129100253 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 66829834 + ... + 67127516.

Almost surely, 219938412910025 is an apocalyptic number.

19938412910025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19938412910025 is the 4465245-th square number.

19938412910025 is the 2232623-rd centered octagonal number.

It is an amenable number.

19938412910025 is a deficient number, since it is larger than the sum of its proper divisors (15773619957694).

19938412910025 is an frugal number, since it uses more digits than its factorization.

19938412910025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595382 (or 297691 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 19938412910025 in words is "nineteen trillion, nine hundred thirty-eight billion, four hundred twelve million, nine hundred ten thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 297683 893049 1488415 2679147 4465245 7442075 13395735 22326225 66978675 88615168489 265845505467 443075842445 797536516401 1329227527335 2215379212225 3987682582005 6646137636675 19938412910025