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65516516550 = 23352197246349
BaseRepresentation
bin111101000001000101…
…101011010011000110
320021002221212212211000
4331001011223103012
52033134212012200
650033050154130
74506363126222
oct750105532306
9207087785730
1065516516550
1125870402651
1210845422946
136241604874
1432573a9782
151a86bd6300
hexf4116b4c6

65516516550 has 96 divisors (see below), whose sum is σ = 181451556000. Its totient is φ = 17382314880.

The previous prime is 65516516491. The next prime is 65516516567. The reversal of 65516516550 is 5561561556.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 65516516496 and 65516516505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142776 + ... + 389124.

It is an arithmetic number, because the mean of its divisors is an integer number (1890120375).

Almost surely, 265516516550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65516516550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90725778000).

65516516550 is an abundant number, since it is smaller than the sum of its proper divisors (115935039450).

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

65516516550 is a wasteful number, since it uses less digits than its factorization.

65516516550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246567 (or 246556 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 65516516550 in words is "sixty-five billion, five hundred sixteen million, five hundred sixteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 197 225 270 394 450 591 675 985 1182 1350 1773 1970 2955 3546 4925 5319 5910 8865 9850 10638 14775 17730 26595 29550 44325 53190 88650 132975 246349 265950 492698 739047 1231745 1478094 2217141 2463490 3695235 4434282 6158725 6651423 7390470 11085705 12317450 13302846 18476175 22171410 33257115 36952350 48530753 55428525 66514230 97061506 110857050 145592259 166285575 242653765 291184518 332571150 436776777 485307530 727961295 873553554 1213268825 1310330331 1455922590 2183883885 2426537650 2620660662 3639806475 4367767770 6551651655 7279612950 10919419425 13103303310 21838838850 32758258275 65516516550