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13730443136 = 27472282321
BaseRepresentation
bin11001100100110010…
…11110111110000000
31022102220020210001222
430302121132332000
5211104443140021
610150243014212
7664152561314
oct146231367600
938386223058
1013730443136
115906528173
1227b236a368
1313aa80c987
14943789b44
155556396ab
hex33265ef80

13730443136 has 32 divisors (see below), whose sum is σ = 27935621280. Its totient is φ = 6719150080.

The previous prime is 13730443099. The next prime is 13730443163. The reversal of 13730443136 is 63134403731.

13730443136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 13730443096 and 13730443105.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1135145 + ... + 1147176.

It is an arithmetic number, because the mean of its divisors is an integer number (872988165).

Almost surely, 213730443136 is an apocalyptic number.

13730443136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13730443136 is an abundant number, since it is smaller than the sum of its proper divisors (14205178144).

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

13730443136 is an equidigital number, since it uses as much as digits as its factorization.

13730443136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282382 (or 2282370 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 35.

Adding to 13730443136 its reverse (63134403731), we get a palindrome (76864846867).

The spelling of 13730443136 in words is "thirteen billion, seven hundred thirty million, four hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 6016 2282321 4564642 9129284 18258568 36517136 73034272 107269087 146068544 214538174 292137088 429076348 858152696 1716305392 3432610784 6865221568 13730443136