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8042248428435 = 35513509164193
BaseRepresentation
bin111010100000111101101…
…0111000101101110010011
31001110211110010020221100000
41311001323113011232103
52023231011044202220
625034320302301043
71460014261510044
oct165017327055623
931424403227300
108042248428435
1126207756388a1
12a9a784887783
134644c4733040
141db3656d28cb
15de2e6033390
hex7507b5c5b93

8042248428435 has 48 divisors (see below), whose sum is σ = 15568204395744. Its totient is φ = 3959260756992.

The previous prime is 8042248428419. The next prime is 8042248428449. The reversal of 8042248428435 is 5348248422408.

It is a happy number.

8042248428435 is a `hidden beast` number, since 80 + 4 + 2 + 2 + 484 + 2 + 84 + 3 + 5 = 666.

It is not a de Polignac number, because 8042248428435 - 24 = 8042248428419 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254566302 + ... + 254597891.

It is an arithmetic number, because the mean of its divisors is an integer number (324337591578).

Almost surely, 28042248428435 is an apocalyptic number.

8042248428435 is a deficient number, since it is larger than the sum of its proper divisors (7525955967309).

8042248428435 is a wasteful number, since it uses less digits than its factorization.

8042248428435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509164226 (or 509164214 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 54.

The spelling of 8042248428435 in words is "eight trillion, forty-two billion, two hundred forty-eight million, four hundred twenty-eight thousand, four hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 243 351 405 585 1053 1215 1755 3159 5265 15795 509164193 1527492579 2545820965 4582477737 6619134509 7637462895 13747433211 19857403527 22912388685 33095672545 41242299633 59572210581 68737166055 99287017635 123726898899 178716631743 206211498165 297861052905 536149895229 618634494495 893583158715 1608449685687 2680749476145 8042248428435