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13838065521 = 375783113947
BaseRepresentation
bin11001110001101000…
…00001111101110001
31022201101202120020020
430320310001331301
5211320021044041
610205045434053
7666630421230
oct147064017561
938641676206
1013838065521
115961255495
12282240b929
1313c6bc1a67
14953ba2b17
1555ece7866
hex338d01f71

13838065521 has 16 divisors (see below), whose sum is σ = 21090407424. Its totient is φ = 7906029264.

The previous prime is 13838065499. The next prime is 13838065531. The reversal of 13838065521 is 12556083831.

13838065521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13838065521 - 25 = 13838065489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13838065531) 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, 64470 + ... + 178416.

It is an arithmetic number, because the mean of its divisors is an integer number (1318150464).

Almost surely, 213838065521 is an apocalyptic number.

It is an amenable number.

13838065521 is a deficient number, since it is larger than the sum of its proper divisors (7252341903).

13838065521 is a wasteful number, since it uses less digits than its factorization.

13838065521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119740.

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 13838065521 in words is "thirteen billion, eight hundred thirty-eight million, sixty-five thousand, five hundred twenty-one".

Divisors: 1 3 7 21 5783 17349 40481 113947 121443 341841 797629 2392887 658955501 1976866503 4612688507 13838065521