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1117385400609 = 3417811463617
BaseRepresentation
bin10000010000101001010…
…111000010000100100001
310221211011111202121220000
4100100221113002010201
5121301401130304414
62213153023010213
7143504565123462
oct20205127020441
93854144677800
101117385400609
113a0975a23875
12160682139969
13814a489aa7a
143c12042ad69
151e0ebe05b09
hex104295c2121

1117385400609 has 20 divisors (see below), whose sum is σ = 1767367760004. Its totient is φ = 701104564224.

The previous prime is 1117385400589. The next prime is 1117385400623. The reversal of 1117385400609 is 9060045837111.

1117385400609 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 38 + 5 + 4 + 0 + 0 + 609 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 808947342225 + 308438058384 = 899415^2 + 555372^2 .

It is not a de Polignac number, because 1117385400609 - 220 = 1117384352033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1117385400709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 405730432 + ... + 405733185.

Almost surely, 21117385400609 is an apocalyptic number.

It is an amenable number.

1117385400609 is a deficient number, since it is larger than the sum of its proper divisors (649982359395).

1117385400609 is an equidigital number, since it uses as much as digits as its factorization.

1117385400609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811463646 (or 811463637 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1117385400609 in words is "one trillion, one hundred seventeen billion, three hundred eighty-five million, four hundred thousand, six hundred nine".

Divisors: 1 3 9 17 27 51 81 153 459 1377 811463617 2434390851 7303172553 13794881489 21909517659 41384644467 65728552977 124153933401 372461800203 1117385400609