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45699750625 = 541725032
BaseRepresentation
bin101010100011111010…
…101101101011100001
311100221220010212110111
4222203322231223201
51222043114010000
632554424131321
73205324320364
oct524372555341
9140856125414
1045699750625
1118421355051
128a34906b41
134403b93b79
1422d75800db
1512c70b1cba
hexaa3eadae1

45699750625 has 45 divisors (see below), whose sum is σ = 60784051471. Its totient is φ = 34340816000.

The previous prime is 45699750623. The next prime is 45699750637. The reversal of 45699750625 is 52605799654.

The square root of 45699750625 is 213775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 22317670881 + 23382079744 = 149391^2 + 152912^2 .

It is not a de Polignac number, because 45699750625 - 21 = 45699750623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45699750625.

It is not an unprimeable number, because it can be changed into a prime (45699750623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90854124 + ... + 90854626.

Almost surely, 245699750625 is an apocalyptic number.

45699750625 is the 213775-th square number.

45699750625 is the 106888-th centered octagonal number.

It is an amenable number.

45699750625 is a deficient number, since it is larger than the sum of its proper divisors (15084300846).

45699750625 is an frugal number, since it uses more digits than its factorization.

45699750625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 58.

The spelling of 45699750625 in words is "forty-five billion, six hundred ninety-nine million, seven hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 289 425 503 625 1445 2125 2515 7225 8551 10625 12575 36125 42755 62875 145367 180625 213775 253009 314375 726835 1068875 1265045 3634175 4301153 5344375 6325225 18170875 21505765 31626125 73119601 90854375 107528825 158130625 365598005 537644125 1827990025 2688220625 9139950125 45699750625