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135045413433 = 33717157267713
BaseRepresentation
bin111110111000101010…
…1010111101000111001
3110220120112202210201000
41331301111113220321
54203033111212213
6142012231515213
712520360034340
oct1756125275071
9426515683630
10135045413433
11522aa6849a7
122220a528b09
13c972273c78
1467715ccb57
1537a5c8ac73
hex1f71557a39

135045413433 has 64 divisors (see below), whose sum is σ = 243641157120. Its totient is φ = 72166588416.

The previous prime is 135045413407. The next prime is 135045413453. The reversal of 135045413433 is 334314540531.

135045413433 is a `hidden beast` number, since 1 + 3 + 50 + 4 + 541 + 34 + 33 = 666.

It is not a de Polignac number, because 135045413433 - 29 = 135045412921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135045413453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370585 + ... + 638297.

It is an arithmetic number, because the mean of its divisors is an integer number (3806893080).

Almost surely, 2135045413433 is an apocalyptic number.

It is an amenable number.

135045413433 is a deficient number, since it is larger than the sum of its proper divisors (108595743687).

135045413433 is a wasteful number, since it uses less digits than its factorization.

135045413433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267903 (or 267897 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 135045413433 its reverse (334314540531), we get a palindrome (469359953964).

The spelling of 135045413433 in words is "one hundred thirty-five billion, forty-five million, four hundred thirteen thousand, four hundred thirty-three".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 157 189 357 459 471 1071 1099 1413 2669 3213 3297 4239 8007 9891 18683 24021 29673 56049 72063 168147 267713 504441 803139 1873991 2409417 4551121 5621973 7228251 13653363 16865919 31857847 40960089 42030941 50597757 95573541 122880267 126092823 286720623 294216587 378278469 714525997 860161869 882649761 1134835407 2143577991 2647949283 5001681979 6430733973 7943847849 15005045937 19292201919 45015137811 135045413433