Search a number
-
+
65405756668 = 227471393371061
BaseRepresentation
bin111100111010011111…
…001010010011111100
320020211020110200211011
4330322133022103330
52032422333203133
650014052205004
74503546521140
oct747237122374
9206736420734
1065405756668
112581393205a
1210814309764
136224694685
1432467b7220
151a7c1086cd
hexf3a7ca4fc

65405756668 has 96 divisors (see below), whose sum is σ = 135082321920. Its totient is φ = 27130844160.

The previous prime is 65405756623. The next prime is 65405756671. The reversal of 65405756668 is 86665750456.

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, 61644858 + ... + 61645918.

It is an arithmetic number, because the mean of its divisors is an integer number (1407107520).

Almost surely, 265405756668 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 65405756668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67541160960).

65405756668 is an abundant number, since it is smaller than the sum of its proper divisors (69676565252).

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

65405756668 is a wasteful number, since it uses less digits than its factorization.

65405756668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 58.

The spelling of 65405756668 in words is "sixty-five billion, four hundred five million, seven hundred fifty-six thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 47 94 139 188 278 329 337 556 658 674 973 1061 1316 1348 1946 2122 2359 3892 4244 4718 6533 7427 9436 13066 14854 15839 26132 29708 31678 45731 46843 49867 63356 91462 93686 99734 110873 147479 182924 187372 199468 221746 294958 327901 349069 357557 443492 589916 655802 698138 715114 1032353 1311604 1396276 1430228 2064706 2201621 2502899 4129412 4403242 5005798 6931513 8806484 10011596 13863026 15411347 16805179 27726052 30822694 33610358 48520591 49700423 61645388 67220716 97041182 99400846 117636253 194082364 198801692 235272506 347902961 470545012 695805922 1391611844 2335919881 4671839762 9343679524 16351439167 32702878334 65405756668