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13727644201 = 1131515631429
BaseRepresentation
bin11001100100011101…
…10011101000101001
31022102200222120122201
430302032303220221
5211103234103301
610150103020201
7664120023205
oct146216635051
938380876581
1013727644201
1159049962a7
1227b143a661
1313aa06c9bb
1494325bb05
15555285201
hex3323b3a29

13727644201 has 16 divisors (see below), whose sum is σ = 13975378560. Its totient is φ = 13482604800.

The previous prime is 13727644199. The next prime is 13727644237. The reversal of 13727644201 is 10244672731.

13727644201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13727644201 - 21 = 13727644199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13727644241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9605755 + ... + 9607183.

It is an arithmetic number, because the mean of its divisors is an integer number (873461160).

Almost surely, 213727644201 is an apocalyptic number.

It is an amenable number.

13727644201 is a deficient number, since it is larger than the sum of its proper divisors (247734359).

13727644201 is a wasteful number, since it uses less digits than its factorization.

13727644201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256.

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 13727644201 in words is "thirteen billion, seven hundred twenty-seven million, six hundred forty-four thousand, two hundred one".

Divisors: 1 113 151 563 1429 17063 63619 85013 161477 215779 804527 9606469 24383027 90911551 121483577 13727644201