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549243342945 = 33511678296659
BaseRepresentation
bin1111111111000010111…
…01000101000001100001
31221111200201020201112000
413333201131011001201
532444322243433240
61100152514554213
754452522246013
oct7774135050141
91844621221460
10549243342945
111a1a29603940
128a544598969
133ca41201c1b
141c82526c1b3
15e448d63430
hex7fe1745061

549243342945 has 128 divisors (see below), whose sum is σ = 1082564352000. Its totient is φ = 261969396480.

The previous prime is 549243342919. The next prime is 549243342959.

It is a happy number.

549243342945 is a `hidden beast` number, since 54 + 9 + 243 + 342 + 9 + 4 + 5 = 666.

549243342945 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 549243342945 - 28 = 549243342689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 549243342891 and 549243342900.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82478026 + ... + 82484684.

It is an arithmetic number, because the mean of its divisors is an integer number (8457534000).

Almost surely, 2549243342945 is an apocalyptic number.

549243342945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

549243342945 is a deficient number, since it is larger than the sum of its proper divisors (533321009055).

549243342945 is a wasteful number, since it uses less digits than its factorization.

549243342945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7580 (or 7574 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 549243342945 in words is "five hundred forty-nine billion, two hundred forty-three million, three hundred forty-two thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 67 99 135 165 201 297 335 495 603 737 829 1005 1485 1809 2211 2487 3015 3685 4145 6633 6659 7461 9045 9119 11055 12435 19899 19977 22383 27357 33165 33295 37305 45595 55543 59931 73249 82071 99495 99885 111915 136785 166629 179793 219747 246213 277715 299655 366245 410355 446153 499887 610973 659241 833145 898965 1098735 1231065 1338459 1499661 1832919 1977723 2230765 2499435 3054865 3296205 4015377 4907683 5498757 5520311 6692295 7498305 9164595 9888615 12046131 14723049 16496271 16560933 20076885 24538415 27493785 27601555 44169147 49682799 60230655 60723421 73615245 82481355 82804665 132507441 149048397 182170263 220845735 248413995 303617105 369860837 546510789 662537205 745241985 910851315 1109582511 1639532367 1849304185 2732553945 3328747533 4068469207 5547912555 8197661835 9986242599 12205407621 16643737665 20342346035 36616222863 49931212995 61027038105 109848668589 183081114315 549243342945