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444748941025 = 521333792
BaseRepresentation
bin1100111100011010001…
…10100100011011100001
31120111222022121002212221
412132031012210123201
524241321212103100
6540152001151041
744063202423634
oct6361506443341
91514868532787
10444748941025
11161687201094
127224162b481
1332c2a528a7c
141775135bc1b
15b88029401a
hex678d1a46e1

444748941025 has 9 divisors (see below), whose sum is σ = 551492821651. Its totient is φ = 355796485240.

The previous prime is 444748941011. The next prime is 444748941053. The reversal of 444748941025 is 520149847444.

The square root of 444748941025 is 666895.

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

It can be written as a sum of positive squares in only one way, i.e., 160109618769 + 284639322256 = 400137^2 + 533516^2 .

It is not a de Polignac number, because 444748941025 - 27 = 444748940897 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 (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3267786 + ... + 3401164.

Almost surely, 2444748941025 is an apocalyptic number.

444748941025 is the 666895-th square number.

444748941025 is the 333448-th centered octagonal number.

It is an amenable number.

444748941025 is a deficient number, since it is larger than the sum of its proper divisors (106743880626).

444748941025 is an frugal number, since it uses more digits than its factorization.

444748941025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266768 (or 133384 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 444748941025 in words is "four hundred forty-four billion, seven hundred forty-eight million, nine hundred forty-one thousand, twenty-five".

Divisors: 1 5 25 133379 666895 3334475 17789957641 88949788205 444748941025