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44785140625 = 5616932
BaseRepresentation
bin101001101101011001…
…110000001110010001
311021121011010212102001
4221231121300032101
51213204444000000
632323552554001
73143550262051
oct515531601621
9137534125361
1044785140625
1117aa2054015
12881a552901
1342b9553514
14224bcdd561
151271b4b46a
hexa6d670391

44785140625 has 21 divisors (see below), whose sum is σ = 56013794733. Its totient is φ = 35806950000.

The previous prime is 44785140611. The next prime is 44785140637. The reversal of 44785140625 is 52604158744.

The square root of 44785140625 is 211625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 32715042129 + 12070098496 = 180873^2 + 109864^2 .

It is not a de Polignac number, because 44785140625 - 27 = 44785140497 is a prime.

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 20 ways as a sum of consecutive naturals, for example, 26452279 + ... + 26453971.

Almost surely, 244785140625 is an apocalyptic number.

44785140625 is the 211625-th square number.

44785140625 is the 105813-rd centered octagonal number.

It is an amenable number.

44785140625 is a deficient number, since it is larger than the sum of its proper divisors (11228654108).

44785140625 is an frugal number, since it uses more digits than its factorization.

44785140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 44785140625 in words is "forty-four billion, seven hundred eighty-five million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 1693 3125 8465 15625 42325 211625 1058125 2866249 5290625 14331245 26453125 71656225 358281125 1791405625 8957028125 44785140625