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484102850625 = 325492772
BaseRepresentation
bin1110000101101101100…
…01110100100001000001
31201021112221220211222100
413002312301310201001
530412420312210000
61010221020101013
746655343223152
oct7026661644101
91637487824870
10484102850625
11177341490919
12799a5094769
133685c795a04
1419605bc5929
15c8d51a6a00
hex70b6c74841

484102850625 has 45 divisors (see below), whose sum is σ = 873889087071. Its totient is φ = 258160356000.

The previous prime is 484102850603. The next prime is 484102850653. The reversal of 484102850625 is 526058201484.

The square root of 484102850625 is 695775.

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

484102850625 is a `hidden beast` number, since 4 + 8 + 4 + 10 + 2 + 8 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 212107223601 + 271995627024 = 460551^2 + 521532^2 .

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

It is not a de Polignac number, because 484102850625 - 227 = 483968632897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 44 ways as a sum of consecutive naturals, for example, 52178487 + ... + 52187763.

Almost surely, 2484102850625 is an apocalyptic number.

484102850625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

484102850625 is the 695775-th square number.

484102850625 is the 347888-th centered octagonal number.

It is an amenable number.

484102850625 is a deficient number, since it is larger than the sum of its proper divisors (389786236446).

484102850625 is an frugal number, since it uses more digits than its factorization.

484102850625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18580 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 484102850625 in words is "four hundred eighty-four billion, one hundred two million, eight hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 9277 27831 46385 83493 139155 231925 417465 695775 1159625 2087325 3478875 5798125 10436625 17394375 52183125 86062729 258188187 430313645 774564561 1290940935 2151568225 3872822805 6454704675 10757841125 19364114025 32273523375 53789205625 96820570125 161367616875 484102850625