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161115415641 = 3237895436293
BaseRepresentation
bin1001011000001100111…
…0100010010001011001
3120101212102002010121100
42112003032202101121
510114431021300031
6202003154302013
714432406302565
oct2260316422131
9511772063540
10161115415641
11623684a7474
1227285287909
131226838718b
147b25b066a5
1542ce86ade6
hex25833a2459

161115415641 has 24 divisors (see below), whose sum is σ = 241697631240. Its totient is φ = 103333038336.

The previous prime is 161115415631. The next prime is 161115415673. The reversal of 161115415641 is 146514511161.

161115415641 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 1 + 5 + 4 + 1 + 5 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56265737616 + 104849678025 = 237204^2 + 323805^2 .

It is not a de Polignac number, because 161115415641 - 215 = 161115382873 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 161115415596 and 161115415605.

It is not an unprimeable number, because it can be changed into a prime (161115415631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2688510 + ... + 2747783.

It is an arithmetic number, because the mean of its divisors is an integer number (10070734635).

Almost surely, 2161115415641 is an apocalyptic number.

It is an amenable number.

161115415641 is a deficient number, since it is larger than the sum of its proper divisors (80582215599).

161115415641 is a wasteful number, since it uses less digits than its factorization.

161115415641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436425 (or 5436422 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The spelling of 161115415641 in words is "one hundred sixty-one billion, one hundred fifteen million, four hundred fifteen thousand, six hundred forty-one".

Divisors: 1 3 9 37 89 111 267 333 801 3293 9879 29637 5436293 16308879 48926637 201142841 483830077 603428523 1451490231 1810285569 4354470693 17901712849 53705138547 161115415641