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64549935216 = 243213191180533
BaseRepresentation
bin111100000111011110…
…011101100001110000
320011121121002110111100
4330013132131201300
52024144240411331
645353121044400
74443415252644
oct740736354160
9204547073440
1064549935216
11254148347a8
1210615786700
136119298750
1431a4c7ac24
151a2be06ae6
hexf0779d870

64549935216 has 120 divisors (see below), whose sum is σ = 195565982976. Its totient is φ = 19757422080.

The previous prime is 64549935113. The next prime is 64549935217. The reversal of 64549935216 is 61253994546.

64549935216 is a `hidden beast` number, since 6 + 4 + 549 + 93 + 5 + 2 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64549935217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267286 + ... + 447818.

Almost surely, 264549935216 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 64549935216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97782991488).

64549935216 is an abundant number, since it is smaller than the sum of its proper divisors (131016047760).

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

64549935216 is a wasteful number, since it uses less digits than its factorization.

64549935216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180751 (or 180742 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 64549935216 in words is "sixty-four billion, five hundred forty-nine million, nine hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 191 208 234 312 382 468 573 624 764 936 1146 1528 1719 1872 2292 2483 3056 3438 4584 4966 6876 7449 9168 9932 13752 14898 19864 22347 27504 29796 39728 44694 59592 89388 119184 178776 180533 357552 361066 541599 722132 1083198 1444264 1624797 2166396 2346929 2888528 3249594 4332792 4693858 6499188 7040787 8665584 9387716 12998376 14081574 18775432 21122361 25996752 28163148 34481803 37550864 42244722 56326296 68963606 84489444 103445409 112652592 137927212 168978888 206890818 275854424 310336227 337957776 413781636 448263439 551708848 620672454 827563272 896526878 1241344908 1344790317 1655126544 1793053756 2482689816 2689580634 3586107512 4034370951 4965379632 5379161268 7172215024 8068741902 10758322536 16137483804 21516645072 32274967608 64549935216