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204842282272 = 2517617610289
BaseRepresentation
bin1011111011000110001…
…1010010110100100000
3201120201210220010000021
42332301203102310200
511324004111013042
6234034145003224
720541116446015
oct2766143226440
9646653803007
10204842282272
1179967145581
1233849323514
13164165a9064
149cb324970c
1554dd624867
hex2fb18d2d20

204842282272 has 48 divisors (see below), whose sum is σ = 427698555480. Its totient is φ = 96239976448.

The previous prime is 204842282243. The next prime is 204842282273. The reversal of 204842282272 is 272282248402.

It can be written as a sum of positive squares in 4 ways, for example, as 81587924496 + 123254357776 = 285636^2 + 351076^2 .

It is not an unprimeable number, because it can be changed into a prime (204842282273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30504 + ... + 640792.

Almost surely, 2204842282272 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 204842282272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213849277740).

204842282272 is an abundant number, since it is smaller than the sum of its proper divisors (222856273208).

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

204842282272 is a wasteful number, since it uses less digits than its factorization.

204842282272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610933 (or 610925 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 43.

The spelling of 204842282272 in words is "two hundred four billion, eight hundred forty-two million, two hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 617 1234 2468 4936 9872 10489 19744 20978 41956 83912 167824 335648 610289 1220578 2441156 4882312 9764624 10374913 19529248 20749826 41499652 82999304 165998608 331997216 376548313 753096626 1506193252 3012386504 6024773008 6401321321 12049546016 12802642642 25605285284 51210570568 102421141136 204842282272