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445222222544 = 24117965349037
BaseRepresentation
bin1100111101010010100…
…11111111101011010000
31120120012022011022002002
412132221103333223100
524243303342110134
6540310545213132
744111010310301
oct6365123775320
91516168138062
10445222222544
111618aa379540
12723540311a8
1332ca45b76c8
141779815a7a8
15b8abad087e
hex67a94ffad0

445222222544 has 80 divisors (see below), whose sum is σ = 954428555520. Its totient is φ = 199501985280.

The previous prime is 445222222519. The next prime is 445222222631.

445222222544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445222222498 and 445222222507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9054794 + ... + 9103830.

It is an arithmetic number, because the mean of its divisors is an integer number (11930356944).

Almost surely, 2445222222544 is an apocalyptic number.

445222222544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445222222544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477214277760).

445222222544 is an abundant number, since it is smaller than the sum of its proper divisors (509206332976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445222222544 is a wasteful number, since it uses less digits than its factorization.

445222222544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49788 (or 49782 counting only the distinct ones).

The product of its digits is 409600, while the sum is 38.

It can be divided in two parts, 445222 and 222544, that added together give a palindrome (667766).

The spelling of 445222222544 in words is "four hundred forty-five billion, two hundred twenty-two million, two hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 653 869 1264 1306 1738 2612 3476 5224 6952 7183 10448 13904 14366 28732 49037 51587 57464 98074 103174 114928 196148 206348 392296 412696 539407 567457 784592 825392 1078814 1134914 2157628 2269828 3873923 4315256 4539656 7747846 8630512 9079312 15495692 30991384 32021161 42613153 61982768 64042322 85226306 128084644 170452612 256169288 340905224 352232771 512338576 681810448 704465542 1408931084 2529671719 2817862168 5059343438 5635724336 10118686876 20237373752 27826388909 40474747504 55652777818 111305555636 222611111272 445222222544