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65005065500 = 22534710312683
BaseRepresentation
bin111100100010100110…
…101001010100011100
320012210022111110212112
4330202212221110130
52031112244044000
645510220053152
74460612640254
oct744246512434
9205708443775
1065005065500
1125628734931
12107220941b8
13618c6705cb
1432094b2964
151a56d5a235
hexf229a951c

65005065500 has 96 divisors (see below), whose sum is σ = 145186449408. Its totient is φ = 25414632000.

The previous prime is 65005065493. The next prime is 65005065527. The reversal of 65005065500 is 556050056.

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 31 ways as a sum of consecutive naturals, for example, 24227159 + ... + 24229841.

It is an arithmetic number, because the mean of its divisors is an integer number (1512358848).

Almost surely, 265005065500 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 65005065500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72593224704).

65005065500 is an abundant number, since it is smaller than the sum of its proper divisors (80181383908).

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

65005065500 is a wasteful number, since it uses less digits than its factorization.

65005065500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3768 counting only the distinct ones).

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

The spelling of 65005065500 in words is "sixty-five billion, five million, sixty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 470 500 940 1031 1175 2062 2350 2683 4124 4700 5155 5366 5875 10310 10732 11750 13415 20620 23500 25775 26830 48457 51550 53660 67075 96914 103100 126101 128875 134150 193828 242285 252202 257750 268300 335375 484570 504404 515500 630505 670750 969140 1211425 1261010 1341500 2422850 2522020 2766173 3152525 4845700 5532346 6057125 6305050 11064692 12114250 12610100 13830865 15762625 24228500 27661730 31525250 55323460 63050500 69154325 130010131 138308650 260020262 276617300 345771625 520040524 650050655 691543250 1300101310 1383086500 2600202620 3250253275 6500506550 13001013100 16251266375 32502532750 65005065500