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65505649136 = 24193112595521
BaseRepresentation
bin111101000000011100…
…001110000111110000
320021002012102202112012
4331000130032013300
52033123421233021
650032021222052
74506201554624
oct750034160760
9207065382465
1065505649136
112586525a814
1210841861928
13623c29b245
143255b7b184
151a85c8b35b
hexf4070e1f0

65505649136 has 80 divisors (see below), whose sum is σ = 138041164800. Its totient is φ = 29998771200.

The previous prime is 65505649133. The next prime is 65505649141. The reversal of 65505649136 is 63194650556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65505649133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11862056 + ... + 11867576.

It is an arithmetic number, because the mean of its divisors is an integer number (1725514560).

Almost surely, 265505649136 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 65505649136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69020582400).

65505649136 is an abundant number, since it is smaller than the sum of its proper divisors (72535515664).

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

65505649136 is a wasteful number, since it uses less digits than its factorization.

65505649136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6838 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 50.

The spelling of 65505649136 in words is "sixty-five billion, five hundred five million, six hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 1259 2356 2518 4712 5036 5521 9424 10072 11042 20144 22084 23921 39029 44168 47842 78058 88336 95684 104899 156116 171151 191368 209798 312232 342302 382736 419596 624464 684604 741551 839192 1369208 1483102 1678384 2738416 2966204 3251869 5932408 6503738 6950939 11864816 13007476 13901878 26014952 27803756 52029904 55607512 111215024 132067841 215479109 264135682 430958218 528271364 861916436 1056542728 1723832872 2113085456 3447665744 4094103071 8188206142 16376412284 32752824568 65505649136