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532640080080 = 243253719993997
BaseRepresentation
bin1111100000000111101…
…00101010000011010000
31212220211121021120122100
413300003310222003100
532211321330030310
61044405205240400
753324213656563
oct7600364520320
91786747246570
10532640080080
11195989491799
1287290103100
133b2c6479c24
141bacc1444da
15dcc6407ec0
hex7c03d2a0d0

532640080080 has 120 divisors (see below), whose sum is σ = 1837128512232. Its totient is φ = 138198500352.

The previous prime is 532640080079. The next prime is 532640080111. The reversal of 532640080080 is 80080046235.

532640080080 is a `hidden beast` number, since 5 + 3 + 2 + 640 + 0 + 8 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 322960343616 + 209679736464 = 568296^2 + 457908^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×5326400800803 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9970359 + ... + 10023638.

Almost surely, 2532640080080 is an apocalyptic number.

It is an amenable number.

532640080080 is an abundant number, since it is smaller than the sum of its proper divisors (1304488432152).

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

532640080080 is a wasteful number, since it uses less digits than its factorization.

532640080080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19994053 (or 19994044 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 532640080080 in words is "five hundred thirty-two billion, six hundred forty million, eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 19993997 39987994 59981991 79975988 99969985 119963982 159951976 179945973 199939970 239927964 299909955 319903952 359891946 399879940 479855928 599819910 719783892 739777889 799759880 899729865 959711856 1199639820 1439567784 1479555778 1599519760 1799459730 2219333667 2399279640 2879135568 2959111556 3598919460 3698889445 4438667334 4798559280 5918223112 6658001001 7197838920 7397778890 8877334668 11096668335 11836446224 13316002002 14395677840 14795557780 17754669336 22193336670 26632004004 29591115560 33290005005 35509338672 44386673340 53264008008 59182231120 66580010010 88773346680 106528016016 133160020020 177546693360 266320040040 532640080080