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205039931136 = 2832411107797
BaseRepresentation
bin1011111011110101010…
…1010000111100000000
3201121020120210201021120
42332331111100330000
511324410210244021
6234105525152240
720546036441535
oct2767525207400
9647216721246
10205039931136
1179a58772047
12338a355b680
131644851c151
149cd15b8d8c
155500b672c6
hex2fbd550f00

205039931136 has 72 divisors (see below), whose sum is σ = 547970065104. Its totient is φ = 68062986240.

The previous prime is 205039931111. The next prime is 205039931141. The reversal of 205039931136 is 631139930502.

205039931136 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2050399311364 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 368811 + ... + 738986.

Almost surely, 2205039931136 is an apocalyptic number.

It is an amenable number.

205039931136 is an abundant number, since it is smaller than the sum of its proper divisors (342930133968).

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

205039931136 is a wasteful number, since it uses less digits than its factorization.

205039931136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108057 (or 1108043 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The spelling of 205039931136 in words is "two hundred five billion, thirty-nine million, nine hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 256 384 482 723 768 964 1446 1928 2892 3856 5784 7712 11568 15424 23136 30848 46272 61696 92544 185088 1107797 2215594 3323391 4431188 6646782 8862376 13293564 17724752 26587128 35449504 53174256 70899008 106348512 141798016 212697024 266979077 283596032 425394048 533958154 800937231 850788096 1067916308 1601874462 2135832616 3203748924 4271665232 6407497848 8543330464 12814995696 17086660928 25629991392 34173321856 51259982784 68346643712 102519965568 205039931136