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45708302025 = 345247512
BaseRepresentation
bin101010100100011011…
…010101011011001001
311100222111020022210000
4222210123111123021
51222102311131100
632555331313213
73205460104521
oct524433253311
9140874208700
1045708302025
1118426165921
128a3774b809
134405899279
1422d8768681
1512c7c00900
hexaa46d56c9

45708302025 has 45 divisors (see below), whose sum is σ = 84685400503. Its totient is φ = 24372630000.

The previous prime is 45708301967. The next prime is 45708302077. The reversal of 45708302025 is 52020380754.

The square root of 45708302025 is 213795.

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

45708302025 is a `hidden beast` number, since 4 + 570 + 83 + 0 + 2 + 0 + 2 + 5 = 666.

45708302025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 16454988729 + 29253313296 = 128277^2 + 171036^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 45708302025 - 211 = 45708299977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9618400 + ... + 9623150.

Almost surely, 245708302025 is an apocalyptic number.

45708302025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45708302025 is the 213795-th square number.

45708302025 is the 106898-th centered octagonal number.

It is an amenable number.

45708302025 is a deficient number, since it is larger than the sum of its proper divisors (38977098478).

45708302025 is an frugal number, since it uses more digits than its factorization.

45708302025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9524 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 45708302025 by its sum of digits (36), we get a square (1645498872900 = 12827702).

Adding to 45708302025 its reverse (52020380754), we get a palindrome (97728682779).

The spelling of 45708302025 in words is "forty-five billion, seven hundred eight million, three hundred two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 4751 14253 23755 42759 71265 118775 128277 213795 356325 384831 641385 1068975 1924155 3206925 9620775 22572001 67716003 112860005 203148009 338580015 564300025 609444027 1015740045 1692900075 1828332081 3047220135 5078700225 9141660405 15236100675 45708302025