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445503213320 = 2351118149111393
BaseRepresentation
bin1100111101110100000…
…11111000111100001000
31120120220212220002221212
412132322003320330020
524244342310311240
6540354503552252
744120661555344
oct6367203707410
91516825802855
10445503213320
11161a33a4a020
127241215b688
133301a88b039
14177c35c2624
15b8c65d7165
hex67ba0f8f08

445503213320 has 128 divisors (see below), whose sum is σ = 1101885482880. Its totient is φ = 160763904000.

The previous prime is 445503213313. The next prime is 445503213349. The reversal of 445503213320 is 23312305544.

It is a super-2 number, since 2×4455032133202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39097544 + ... + 39108936.

It is an arithmetic number, because the mean of its divisors is an integer number (8608480335).

Almost surely, 2445503213320 is an apocalyptic number.

445503213320 is a gapful number since it is divisible by the number (40) 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 445503213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550942741440).

445503213320 is an abundant number, since it is smaller than the sum of its proper divisors (656382269560).

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

445503213320 is a wasteful number, since it uses less digits than its factorization.

445503213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12087 (or 12083 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 445503213320 its reverse (23312305544), we get a palindrome (468815518864).

The spelling of 445503213320 in words is "four hundred forty-five billion, five hundred three million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 181 220 362 440 491 724 905 982 1448 1810 1964 1991 2455 3620 3928 3982 4910 5401 7240 7964 9820 9955 10802 11393 15928 19640 19910 21604 22786 27005 39820 43208 45572 54010 56965 79640 88871 91144 108020 113930 125323 177742 216040 227860 250646 355484 444355 455720 501292 626615 710968 888710 977581 1002584 1253230 1777420 1955162 2062133 2506460 3554840 3910324 4124266 4887905 5012920 5593963 7820648 8248532 9775810 10310665 11187926 16497064 19551620 20621330 22375852 22683463 27969815 39103240 41242660 44751704 45366926 55939630 61533593 82485320 90733852 111879260 113417315 123067186 181467704 223758520 226834630 246134372 307667965 453669260 492268744 615335930 907338520 1012507303 1230671860 2025014606 2461343720 4050029212 5062536515 8100058424 10125073030 11137580333 20250146060 22275160666 40500292120 44550321332 55687901665 89100642664 111375803330 222751606660 445503213320