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206743381482 = 23116121794703
BaseRepresentation
bin1100000010001011011…
…1011010010111101010
3201202122022010221212010
43000202313122113222
511341402301201412
6234550540100350
720636202514221
oct3004267322752
9652568127763
10206743381482
117a752281550
1234099b346b6
131665a406031
14a01391bcb8
1555a049d33c
hex3022dda5ea

206743381482 has 96 divisors (see below), whose sum is σ = 461252413440. Its totient is φ = 61265179200.

The previous prime is 206743381469. The next prime is 206743381489. The reversal of 206743381482 is 284183347602.

206743381482 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2067433814822 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206743381489) 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 47 ways as a sum of consecutive naturals, for example, 43957543 + ... + 43962245.

It is an arithmetic number, because the mean of its divisors is an integer number (4804712640).

Almost surely, 2206743381482 is an apocalyptic number.

206743381482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 206743381482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230626206720).

206743381482 is an abundant number, since it is smaller than the sum of its proper divisors (254509031958).

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

206743381482 is a wasteful number, since it uses less digits than its factorization.

206743381482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 206743381482 in words is "two hundred six billion, seven hundred forty-three million, three hundred eighty-one thousand, four hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 61 66 122 179 183 358 366 537 671 1074 1342 1969 2013 3721 3938 4026 4703 5907 7442 9406 10919 11163 11814 14109 21838 22326 28218 32757 40931 51733 65514 81862 103466 120109 122793 155199 240218 245586 286883 310398 360327 573766 666059 720654 841837 860649 1332118 1683674 1721298 1998177 2525511 3155713 3996354 5051022 6311426 7326649 9260207 9467139 14653298 17499863 18520414 18934278 21979947 27780621 34999726 43959894 51352057 52499589 55561242 102704114 104999178 154056171 192498493 308112342 384996986 564872627 577495479 1129745254 1154990958 1694617881 3132475477 3389235762 6264950954 9397426431 18794852862 34457230247 68914460494 103371690741 206743381482