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203550044006061 = 332313926327732369
BaseRepresentation
bin101110010010000010110000…
…000100010010011010101101
3222200201012020112201221212000
4232102002300010102122231
5203134430442231143221
62000525333241002513
760606001562425464
oct5622026004223255
9880635215657760
10203550044006061
11599480a8336a15
121a9b5441a83439
1389768c0b4664c
143839c362479db
15187ec0ca9ee26
hexb920b01126ad

203550044006061 has 128 divisors (see below), whose sum is σ = 319293950976000. Its totient is φ = 127908825504768.

The previous prime is 203550044006051. The next prime is 203550044006077. The reversal of 203550044006061 is 160600440055302.

203550044006061 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 5 + 0 + 0 + 4 + 40 + 0 + 606 + 1 = 666.

It is not a de Polignac number, because 203550044006061 - 243 = 194753950983853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203550044006041) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6288409285 + ... + 6288441653.

It is an arithmetic number, because the mean of its divisors is an integer number (2494483992000).

Almost surely, 2203550044006061 is an apocalyptic number.

It is an amenable number.

203550044006061 is a deficient number, since it is larger than the sum of its proper divisors (115743906969939).

203550044006061 is a wasteful number, since it uses less digits than its factorization.

203550044006061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33080 (or 33074 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 203550044006061 in words is "two hundred three trillion, five hundred fifty billion, forty-four million, six thousand, sixty-one".

Divisors: 1 3 9 23 27 69 139 207 263 277 417 621 789 831 1251 2367 2493 3197 3753 6049 6371 7101 7479 9591 18147 19113 28773 32369 36557 38503 54441 57339 72851 86319 97107 109671 115509 163323 172017 218553 291321 329013 346527 655659 744487 840811 873963 885569 987039 1039581 1675573 1966977 2233461 2522433 2656707 4499291 5026719 6700383 7567299 7970121 8513047 8966213 10126289 13497873 15080157 20101149 22701897 23910363 25539141 26898639 30378867 40493619 45240471 76617423 80695917 91136601 103483693 121480857 195800081 206222899 229852269 232904647 242087751 273409803 310451079 587400243 618668697 698713941 931353237 1183313533 1246303607 1762200729 1856006091 2096141823 2358114019 2794059711 3549940599 3738910821 5286602187 5568018273 6288425469 7074342057 10649821797 11216732463 21223026171 27216211259 28664982961 31949465391 33650197389 54236622437 63669078513 81648633777 85994948883 162709867311 244945901331 257984846649 327777848641 488129601933 734837703993 773954539947 983333545923 1464388805799 2950000637769 7538890518743 8850001913307 22616671556229 67850014668687 203550044006061