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441625688705 = 5197820954617
BaseRepresentation
bin1100110110100101111…
…00010011101010000001
31120012220122122110011002
412123102330103222001
524213422134014310
6534514031101345
743622616263015
oct6332274235201
91505818573132
10441625688705
11160324208423
127170b671855
133285044c186
1417536630545
15b74aea5da5
hex66d2f13a81

441625688705 has 16 divisors (see below), whose sum is σ = 532715570640. Its totient is φ = 351457892352.

The previous prime is 441625688687. The next prime is 441625688711. The reversal of 441625688705 is 507886526144.

It can be written as a sum of positive squares in 8 ways, for example, as 1206311824 + 440419376881 = 34732^2 + 663641^2 .

It is a cyclic number.

It is not a de Polignac number, because 441625688705 - 26 = 441625688641 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8058557 + ... + 8113173.

It is an arithmetic number, because the mean of its divisors is an integer number (33294723165).

Almost surely, 2441625688705 is an apocalyptic number.

It is an amenable number.

441625688705 is a deficient number, since it is larger than the sum of its proper divisors (91089881935).

441625688705 is a wasteful number, since it uses less digits than its factorization.

441625688705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63028.

The product of its (nonzero) digits is 12902400, while the sum is 56.

The spelling of 441625688705 in words is "four hundred forty-one billion, six hundred twenty-five million, six hundred eighty-eight thousand, seven hundred five".

Divisors: 1 5 197 985 8209 41045 54617 273085 1617173 8085865 10759549 53797745 448350953 2241754765 88325137741 441625688705