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205054640490 = 235727110093571
BaseRepresentation
bin1011111011111000110…
…1011000000101101010
3201121021121111000201110
42332332031120011222
511324422441443430
6234111212331150
720546305454130
oct2767615300552
9647247430643
10205054640490
1179a65aa9437
12338a8473ab6
131644b59c3cb
149cd3527750
1555020c07b0
hex2fbe35816a

205054640490 has 128 divisors (see below), whose sum is σ = 565228707840. Its totient is φ = 46637337600.

The previous prime is 205054640431. The next prime is 205054640491. The reversal of 205054640490 is 94046450502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (205054640491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57420405 + ... + 57423975.

It is an arithmetic number, because the mean of its divisors is an integer number (4415849280).

Almost surely, 2205054640490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205054640490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282614353920).

205054640490 is an abundant number, since it is smaller than the sum of its proper divisors (360174067350).

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

205054640490 is a wasteful number, since it uses less digits than its factorization.

205054640490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868.

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 205054640490 in words is "two hundred five billion, fifty-four million, six hundred forty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 271 542 813 1009 1355 1626 1897 2018 2710 3027 3571 3794 4065 5045 5691 6054 7063 7142 8130 9485 10090 10713 11382 14126 15135 17855 18970 21189 21426 24997 28455 30270 35315 35710 42378 49994 53565 56910 70630 74991 105945 107130 124985 149982 211890 249970 273439 374955 546878 749910 820317 967741 1367195 1640634 1914073 1935482 2734390 2903223 3603139 3828146 4101585 4838705 5742219 5806446 6774187 7206278 8203170 9570365 9677410 10809417 11484438 13548374 14516115 18015695 19140730 20322561 21618834 25221973 28711095 29032230 33870935 36031390 40645122 50443946 54047085 57422190 67741870 75665919 101612805 108094170 126109865 151331838 203225610 252219730 378329595 756659190 976450669 1952901338 2929352007 4882253345 5858704014 6835154683 9764506690 13670309366 14646760035 20505464049 29293520070 34175773415 41010928098 68351546830 102527320245 205054640490