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205348774992 = 243311061130069
BaseRepresentation
bin1011111100111110111…
…1011010010001010000
3201122001002221121101220
42333033233122101100
511331023241244432
6234200320525040
720556506534124
oct2771757322120
9648032847356
10205348774992
117a0a7036aa9
123396aa80780
13164974c54aa
149d20611584
15551cd2172c
hex2fcfbda450

205348774992 has 80 divisors (see below), whose sum is σ = 548117061120. Its totient is φ = 66178598400.

The previous prime is 205348774991. The next prime is 205348775029. The reversal of 205348774992 is 299477843502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205348774991) 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, 1513734 + ... + 1643802.

It is an arithmetic number, because the mean of its divisors is an integer number (6851463264).

Almost surely, 2205348774992 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 205348774992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274058530560).

205348774992 is an abundant number, since it is smaller than the sum of its proper divisors (342768286128).

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

205348774992 is a wasteful number, since it uses less digits than its factorization.

205348774992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131172 (or 131166 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 205348774992 in words is "two hundred five billion, three hundred forty-eight million, seven hundred seventy-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1061 1488 2122 3183 4244 6366 8488 12732 16976 25464 32891 50928 65782 98673 130069 131564 197346 260138 263128 390207 394692 520276 526256 780414 789384 1040552 1560828 1578768 2081104 3121656 4032139 6243312 8064278 12096417 16128556 24192834 32257112 48385668 64514224 96771336 138003209 193542672 276006418 414009627 552012836 828019254 1104025672 1656038508 2208051344 3312077016 4278099479 6624154032 8556198958 12834298437 17112397916 25668596874 34224795832 51337193748 68449591664 102674387496 205348774992