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205113516064 = 2531722139137
BaseRepresentation
bin1011111100000110110…
…1111110000000100000
3201121102201021012211021
42333001231332000200
511330033030003224
6234121114255224
720550622056052
oct2770155760040
9647381235737
10205113516064
1179a96261536
1233904127514
131645a844622
149cdb2918d2
1555073501e4
hex2fc1b7e020

205113516064 has 48 divisors (see below), whose sum is σ = 405318512088. Its totient is φ = 102175854592.

The previous prime is 205113516001. The next prime is 205113516079. The reversal of 205113516064 is 460615311502.

It can be written as a sum of positive squares in 4 ways, for example, as 128665690000 + 76447826064 = 358700^2 + 276492^2 .

It is a super-3 number, since 3×2051135160643 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22444104 + ... + 22453240.

Almost surely, 2205113516064 is an apocalyptic number.

It is an amenable number.

205113516064 is a deficient number, since it is larger than the sum of its proper divisors (200204996024).

205113516064 is a wasteful number, since it uses less digits than its factorization.

205113516064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11677 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 205113516064 its reverse (460615311502), we get a palindrome (665728827566).

The spelling of 205113516064 in words is "two hundred five billion, one hundred thirteen million, five hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 32 317 634 1268 2213 2536 4426 5072 8852 9137 10144 17704 18274 35408 36548 70816 73096 146192 292384 701521 1403042 2806084 2896429 5612168 5792858 11224336 11585716 20220181 22448672 23171432 40440362 46342864 80880724 92685728 161761448 323522896 647045792 6409797377 12819594754 25639189508 51278379016 102556758032 205113516064