Search a number
-
+
204855367541055 = 35711298111643461
BaseRepresentation
bin101110100101000010011011…
…011010011010000100111111
3222212022222111210021000012220
4232211002123122122010333
5203322322243042303210
62003405131234300423
761102211656415310
oct5645023332320477
9885288453230186
10204855367541055
115a300745454800
121ab86414127713
138a3ca16b1a89a
1438830a4832607
1518a3b59038c70
hexba509b69a13f

204855367541055 has 96 divisors (see below), whose sum is σ = 411784576541184. Its totient is φ = 85125968928000.

The previous prime is 204855367541047. The next prime is 204855367541081. The reversal of 204855367541055 is 550145763558402.

It is a happy number.

It is not a de Polignac number, because 204855367541055 - 23 = 204855367541047 is a prime.

It is a super-2 number, since 2×2048553675410552 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204855367541055.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123827025 + ... + 125470485.

It is an arithmetic number, because the mean of its divisors is an integer number (4289422672304).

Almost surely, 2204855367541055 is an apocalyptic number.

204855367541055 is an abundant number, since it is smaller than the sum of its proper divisors (206929209000129).

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

204855367541055 is a wasteful number, since it uses less digits than its factorization.

204855367541055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653309 (or 1653298 counting only the distinct ones).

The product of its (nonzero) digits is 100800000, while the sum is 60.

The spelling of 204855367541055 in words is "two hundred four trillion, eight hundred fifty-five billion, three hundred sixty-seven million, five hundred forty-one thousand, fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1815 2541 4235 9811 12705 29433 49055 68677 107921 147165 206031 323763 343385 539605 755447 1030155 1187131 1618815 1643461 2266341 3561393 3777235 4930383 5935655 8217305 8309917 11331705 11504227 17806965 18078071 24651915 24929751 34512681 41549585 54234213 57521135 90390355 124648755 126546497 172563405 198858781 271171065 379639491 596576343 632732485 994293905 1392011467 1898197455 2982881715 4176034401 6960057335 16123995871 20880172005 48371987613 80619979355 112867971097 177363954581 241859938065 338603913291 532091863743 564339855485 886819772905 1241547682067 1693019566455 1951003500391 2660459318715 3724643046201 5853010501173 6207738410335 9755017501955 13657024502737 18623215231005 29265052505865 40971073508211 68285122513685 204855367541055