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445541565121 = 194434
BaseRepresentation
bin1100111101111000101…
…10001100001011000001
31120121000120001120201221
412132330112030023001
524244432120040441
6540402353555041
744121635550232
oct6367426141301
91517016046657
10445541565121
11161a53664324
1272422b75a81
13330257c8603
14177c8727089
15b8c9b608d1
hex67bc58c2c1

445541565121 has 25 divisors (see below), whose sum is σ = 481491149761. Its totient is φ = 412275915828.

The previous prime is 445541565061. The next prime is 445541565173. The reversal of 445541565121 is 121565145544.

The square root of 445541565121 is 667489.

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

It is not a de Polignac number, because 445541565121 - 29 = 445541564609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (445541565191) by changing a digit.

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 24 ways as a sum of consecutive naturals, for example, 10361431726 + ... + 10361431768.

Almost surely, 2445541565121 is an apocalyptic number.

445541565121 is the 667489-th square number.

445541565121 is the 333745-th centered octagonal number.

It is an amenable number.

445541565121 is a deficient number, since it is larger than the sum of its proper divisors (35949584640).

445541565121 is an frugal number, since it uses more digits than its factorization.

445541565121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 62 counting only the distinct ones).

The product of its digits is 480000, while the sum is 43.

The spelling of 445541565121 in words is "four hundred forty-five billion, five hundred forty-one million, five hundred sixty-five thousand, one hundred twenty-one".

Divisors: 1 19 43 361 817 1849 6859 15523 35131 79507 130321 294937 667489 1510633 3418801 5603803 12682291 28702027 64957219 240963529 545338513 1234187161 10361431747 23449556059 445541565121