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1066554363303 = 3211131723837487
BaseRepresentation
bin11111000010100111001…
…10000000110110100111
310202221222000012101101200
433201103212000312213
5114433300404111203
62133545053253543
7140025132335442
oct17412346006647
93687860171350
101066554363303
11381361151130
12152856a942b3
13797638cbcc0
143989b5b2659
151cb246079a3
hexf853980da7

1066554363303 has 144 divisors (see below), whose sum is σ = 1927915831296. Its totient is φ = 560034247680.

The previous prime is 1066554363263. The next prime is 1066554363307. The reversal of 1066554363303 is 3033634556601.

1066554363303 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 5 + 4 + 3 + 633 + 0 + 3 = 666.

1066554363303 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1066554363303 - 232 = 1062259396007 is a prime.

It is a super-2 number, since 2×10665543633032 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066554363307) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142450426 + ... + 142457912.

It is an arithmetic number, because the mean of its divisors is an integer number (13388304384).

Almost surely, 21066554363303 is an apocalyptic number.

1066554363303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1066554363303 is a deficient number, since it is larger than the sum of its proper divisors (861361467993).

1066554363303 is a wasteful number, since it uses less digits than its factorization.

1066554363303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 1066554363303 in words is "one trillion, sixty-six billion, five hundred fifty-four million, three hundred sixty-three thousand, three hundred three".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 289 383 429 561 663 867 1149 1287 1683 1989 2431 2601 3179 3447 3757 4213 4979 6511 7293 7487 9537 11271 12639 14937 19533 21879 22461 28611 33813 37917 41327 44811 54769 58599 67383 71621 82357 84643 97331 110687 123981 127279 164307 214863 247071 253929 291993 332061 371943 381837 492921 644589 741213 761787 875979 931073 996183 1070641 1145511 1217557 1400069 1438931 1654627 2163743 2793219 2867521 3211923 3652671 4200207 4316793 4963881 6491229 8379657 8602563 9635769 10958013 12600621 12950379 14891643 15828241 18200897 19473687 23801173 25807689 28128659 31542731 37277773 47484723 48747857 54602691 71403519 84385977 94628193 111833319 142454169 146243571 163808073 214210557 253157931 283884579 309415249 335499957 410055503 438730713 536226427 633722141 828713569 928245747 1230166509 1608679281 1901166423 2486140707 2784737241 3690499527 4826037843 5703499269 6970943551 7458422121 9115849259 10773276397 20912830653 27347547777 32319829191 62738491959 82042643331 96959487573 118506040367 355518121101 1066554363303