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205097484384 = 25321354780311
BaseRepresentation
bin1011111100000011000…
…0110100000001100000
3201121101121002201111100
42333000300310001200
511330014424000014
6234115342514400
720550335565342
oct2770060640140
9647347081440
10205097484384
1179a88201711
12338ba895a00
1316457420520
149cd90bb292
155505c35009
hex2fc0c34060

205097484384 has 72 divisors (see below), whose sum is σ = 628111057392. Its totient is φ = 63106917120.

The previous prime is 205097484331. The next prime is 205097484409. The reversal of 205097484384 is 483484790502.

205097484384 is a `hidden beast` number, since 20 + 50 + 97 + 484 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 205097484384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27386412 + ... + 27393899.

It is an arithmetic number, because the mean of its divisors is an integer number (8723764686).

Almost surely, 2205097484384 is an apocalyptic number.

205097484384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205097484384 is an abundant number, since it is smaller than the sum of its proper divisors (423013573008).

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

205097484384 is a wasteful number, since it uses less digits than its factorization.

205097484384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54780340 (or 54780329 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 205097484384 in words is "two hundred five billion, ninety-seven million, four hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 54780311 109560622 164340933 219121244 328681866 438242488 493022799 657363732 712144043 876484976 986045598 1314727464 1424288086 1752969952 1972091196 2136432129 2629454928 2848576172 3944182392 4272864258 5258909856 5697152344 6409296387 7888364784 8545728516 11394304688 12818592774 15776729568 17091457032 22788609376 25637185548 34182914064 51274371096 68365828128 102548742192 205097484384