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13845784338 = 232769210241
BaseRepresentation
bin11001110010100010…
…11110011100010010
31022201221021201110100
430321101132130102
5211324010044323
610205523113230
71000053140121
oct147121363422
938657251410
1013845784338
115965647781
122824b12816
1313c86951c9
14954c11ab8
1556081e943
hex33945e712

13845784338 has 12 divisors (see below), whose sum is σ = 29999199438. Its totient is φ = 4615261440.

The previous prime is 13845784321. The next prime is 13845784361. The reversal of 13845784338 is 83348754831.

It is a happy number.

13845784338 is a `hidden beast` number, since 1 + 38 + 4 + 578 + 4 + 3 + 38 = 666.

13845784338 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13843169649 + 2614689 = 117657^2 + 1617^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 384605103 + ... + 384605138.

Almost surely, 213845784338 is an apocalyptic number.

13845784338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13845784338 is an abundant number, since it is smaller than the sum of its proper divisors (16153415100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13845784338 is a wasteful number, since it uses less digits than its factorization.

13845784338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769210249 (or 769210246 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 13845784338 in words is "thirteen billion, eight hundred forty-five million, seven hundred eighty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 769210241 1538420482 2307630723 4615261446 6922892169 13845784338