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1000056882105 = 32556533931273
BaseRepresentation
bin11101000110110000000…
…10010000001110111001
310112121022200110100001200
432203120002100032321
5112341104030211410
62043230401404413
7132152225146041
oct16433002201671
93477280410050
101000056882105
113561380472a6
12141999039709
13733c6cc35a8
143658dc12721
151b0317503c0
hexe8d80903b9

1000056882105 has 24 divisors (see below), whose sum is σ = 1733739009288. Its totient is φ = 533269184256.

The previous prime is 1000056882103. The next prime is 1000056882119. The reversal of 1000056882105 is 5012886500001.

1000056882105 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 568 + 82 + 10 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97748771904 + 902308110201 = 312648^2 + 949899^2 .

It is not a de Polignac number, because 1000056882105 - 21 = 1000056882103 is a prime.

It is a super-2 number, since 2×10000568821052 (a number of 25 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 1000056882105.

It is not an unprimeable number, because it can be changed into a prime (1000056882103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1711252 + ... + 2220021.

It is an arithmetic number, because the mean of its divisors is an integer number (72239125387).

Almost surely, 21000056882105 is an apocalyptic number.

1000056882105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000056882105 is a deficient number, since it is larger than the sum of its proper divisors (733682127183).

1000056882105 is a wasteful number, since it uses less digits than its factorization.

1000056882105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936937 (or 3936934 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 1000056882105 in words is "one trillion, fifty-six million, eight hundred eighty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 45 5653 16959 28265 50877 84795 254385 3931273 11793819 19656365 35381457 58969095 176907285 22223486269 66670458807 111117431345 200011376421 333352294035 1000056882105