Search a number
-
+
243383978803168 = 2575320500672069
BaseRepresentation
bin110111010101101100111111…
…100110011011111111100000
31011220202021120221200120221101
4313111230333212123333200
5223400100342033200133
62221345020055404144
7102156624611533660
oct6725547746337740
91156667527616841
10243383978803168
1170605625033155
1223369542083654
13a5a601a729538
144415bc14aa1a0
151d20e9861737d
hexdd5b3f99bfe0

243383978803168 has 48 divisors (see below), whose sum is σ = 557946291057120. Its totient is φ = 102339354963456.

The previous prime is 243383978803139. The next prime is 243383978803213. The reversal of 243383978803168 is 861308879383342.

It is a super-2 number, since 2×2433839788031682 (a number of 30 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 243383978803168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10250324163 + ... + 10250347906.

It is an arithmetic number, because the mean of its divisors is an integer number (11623881063690).

Almost surely, 2243383978803168 is an apocalyptic number.

243383978803168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

243383978803168 is an abundant number, since it is smaller than the sum of its proper divisors (314562312253952).

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

243383978803168 is a wasteful number, since it uses less digits than its factorization.

243383978803168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20500672139 (or 20500672131 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 73.

The spelling of 243383978803168 in words is "two hundred forty-three trillion, three hundred eighty-three billion, nine hundred seventy-eight million, eight hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 5936 11872 20500672069 41001344138 82002688276 143504704483 164005376552 287009408966 328010753104 574018817932 656021506208 1086535619657 1148037635864 2173071239314 2296075271728 4346142478628 4592150543456 7605749337599 8692284957256 15211498675198 17384569914512 30422997350396 34769139829024 60845994700792 121691989401584 243383978803168