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445968345900 = 2235271119305989
BaseRepresentation
bin1100111110101011100…
…10001110101100101100
31120122010022010021220110
412133111302032230230
524301320344032100
6540513001220020
744135340252120
oct6372562165454
91518108107813
10445968345900
11162152561010
1272521a91610
133309305580c
141782929d580
15b902364250
hex67d5c8eb2c

445968345900 has 144 divisors (see below), whose sum is σ = 1608729534720. Its totient is φ = 92668742400.

The previous prime is 445968345871. The next prime is 445968345919. The reversal of 445968345900 is 9543869544.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9629895 + ... + 9676094.

It is an arithmetic number, because the mean of its divisors is an integer number (11171732880).

Almost surely, 2445968345900 is an apocalyptic number.

It is an amenable number.

445968345900 is an abundant number, since it is smaller than the sum of its proper divisors (1162761188820).

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

445968345900 is a wasteful number, since it uses less digits than its factorization.

445968345900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19306024 (or 19306017 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 445968345900 in words is "four hundred forty-five billion, nine hundred sixty-eight million, three hundred forty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 19305989 38611978 57917967 77223956 96529945 115835934 135141923 193059890 212365879 231671868 270283846 289589835 386119780 405425769 424731758 482649725 540567692 579179670 637097637 675709615 810851538 849463516 965299450 1061829395 1158359340 1274195274 1351419230 1447949175 1486561153 1621703076 1930598900 2027128845 2123658790 2548390548 2702838460 2895898350 2973122306 3185488185 3378548075 4054257690 4247317580 4459683459 5309146975 5791796700 5946244612 6370976370 6757096150 7432805765 8108515380 8919366918 10135644225 10618293950 12741952740 13514192300 14865611530 15927440925 17838733836 20271288450 21236587900 22298417295 29731223060 31854881850 37164028825 40542576900 44596834590 63709763700 74328057650 89193669180 111492086475 148656115300 222984172950 445968345900