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665500005500 = 225311193362597
BaseRepresentation
bin10011010111100101110…
…01000011010001111100
32100121202211200002101212
421223302321003101330
541400421000134000
61225420530423552
766036465466121
oct11536271032174
92317684602355
10665500005500
11237267449150
12a8b8a731bb8
134a9aaa00a05
14242d3392748
15124a0391c35
hex9af2e4347c

665500005500 has 96 divisors (see below), whose sum is σ = 1586429627328. Its totient is φ = 241870944000.

The previous prime is 665500005473. The next prime is 665500005551. The reversal of 665500005500 is 5500005566.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10600202 + ... + 10662798.

It is an arithmetic number, because the mean of its divisors is an integer number (16525308618).

It is the magic constant of a 11000 × 11000 magic square.

Almost surely, 2665500005500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 665500005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793214813664).

665500005500 is an abundant number, since it is smaller than the sum of its proper divisors (920929621828).

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

665500005500 is a wasteful number, since it uses less digits than its factorization.

665500005500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64560 (or 64548 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

It can be divided in two parts, 66550000 and 5500, that multiplied together give a square (366025000000 = 6050002).

The spelling of 665500005500 in words is "six hundred sixty-five billion, five hundred million, five thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 1933 2750 3866 5500 7732 9665 19330 21263 38660 42526 48325 62597 85052 96650 106315 125194 193300 212630 241625 250388 312985 425260 483250 531575 625970 688567 966500 1063150 1251940 1377134 1564925 2126300 2657875 2754268 3129850 3442835 5315750 6259700 6885670 7824625 10631500 13771340 15649250 17214175 31298500 34428350 68856700 86070875 121000001 172141750 242000002 344283500 484000004 605000005 1210000010 1331000011 2420000020 2662000022 3025000025 5324000044 6050000050 6655000055 12100000100 13310000110 15125000125 26620000220 30250000250 33275000275 60500000500 66550000550 133100001100 166375001375 332750002750 665500005500