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135363663 = 339915059
BaseRepresentation
bin10000001000101…
…11110001001111
3100102201012001000
420010113301033
5234123114123
621233151343
73232400151
oct1004276117
9312635030
10135363663
116a4557a6
12393bb553
1322075c56
1413d98ad1
15bd3cb43
hex8117c4f

135363663 has 16 divisors (see below), whose sum is σ = 200780800. Its totient is φ = 90133560.

The previous prime is 135363647. The next prime is 135363689. The reversal of 135363663 is 366363531.

135363663 is a `hidden beast` number, since 13 + 5 + 3 + 636 + 6 + 3 = 666.

It is not a de Polignac number, because 135363663 - 24 = 135363647 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135363563) 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 15 ways as a sum of consecutive naturals, for example, 24228 + ... + 29286.

It is an arithmetic number, because the mean of its divisors is an integer number (12548800).

Almost surely, 2135363663 is an apocalyptic number.

135363663 is a deficient number, since it is larger than the sum of its proper divisors (65417137).

135363663 is an equidigital number, since it uses as much as digits as its factorization.

135363663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6053 counting only the distinct ones).

The product of its digits is 87480, while the sum is 36.

The square root of 135363663 is about 11634.5890774019. The cubic root of 135363663 is about 513.4530043234.

The spelling of 135363663 in words is "one hundred thirty-five million, three hundred sixty-three thousand, six hundred sixty-three".

Divisors: 1 3 9 27 991 2973 5059 8919 15177 26757 45531 136593 5013469 15040407 45121221 135363663