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66503339981764 = 2272241224172
BaseRepresentation
bin11110001111100000000111…
…11101001011101111000100
322201110122202002220102202021
433013300003331023233010
532204042320013404024
6353235113532052524
720002464521622400
oct1707600375135704
9281418662812667
1066503339981764
111a20a9a9754764
127560962004144
132b15312cc980a
14125cac9172100
157a4d879bcde4
hex3c7c03f4bbc4

66503339981764 has 81 divisors (see below), whose sum is σ = 136002149347239. Its totient is φ = 28371425080320.

The previous prime is 66503339981723. The next prime is 66503339981777. The reversal of 66503339981764 is 46718993330566.

The square root of 66503339981764 is 8154958.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39941768002500 + 26561571979264 = 6319950^2 + 5153792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66503339981693 and 66503339981702.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27514827084 + ... + 27514829500.

Almost surely, 266503339981764 is an apocalyptic number.

66503339981764 is the 8154958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66503339981764

66503339981764 is an abundant number, since it is smaller than the sum of its proper divisors (69498809365475).

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

66503339981764 is an frugal number, since it uses more digits than its factorization.

66503339981764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 70.

The spelling of 66503339981764 in words is "sixty-six trillion, five hundred three billion, three hundred thirty-nine million, nine hundred eighty-one thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 241 482 964 1687 2417 3374 4834 6748 9668 11809 16919 23618 33838 47236 58081 67676 116162 118433 232324 236866 406567 473732 582497 813134 1164994 1626268 2329988 2845969 4077479 5691938 5841889 8154958 11383876 11683778 16309916 23367556 28542353 40893223 57084706 81786446 114169412 140381777 163572892 280763554 286252561 561527108 572505122 982672439 1145010244 1407895249 1965344878 2815790498 3930689756 5631580996 6878707073 9855266743 13757414146 19710533486 27514828292 39421066972 68986867201 137973734402 275947468804 339302755009 678605510018 1357211020036 2375119285063 4750238570126 9500477140252 16625834995441 33251669990882 66503339981764