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13641084411521 = 747103511400559
BaseRepresentation
bin1100011010000000111111…
…1111011001111010000001
31210022002000121220221012212
43012200033333121322001
53241443420102132041
645002343324231505
72605351534240010
oct306401777317201
953262017827185
1013641084411521
11438a1735897a6
12164389769b595
1377c46c24b6a8
143523368b8a77
15189c812e38eb
hexc680ffd9e81

13641084411521 has 16 divisors (see below), whose sum is σ = 15921702420480. Its totient is φ = 11443445368080.

The previous prime is 13641084411473. The next prime is 13641084411569. The reversal of 13641084411521 is 12511448014631.

It is an interprime number because it is at equal distance from previous prime (13641084411473) and next prime (13641084411569).

It is a cyclic number.

It is not a de Polignac number, because 13641084411521 - 214 = 13641084395137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13641084411221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33854840 + ... + 34255398.

It is an arithmetic number, because the mean of its divisors is an integer number (995106401280).

Almost surely, 213641084411521 is an apocalyptic number.

It is an amenable number.

13641084411521 is a deficient number, since it is larger than the sum of its proper divisors (2280618008959).

13641084411521 is a wasteful number, since it uses less digits than its factorization.

13641084411521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504124.

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 13641084411521 in words is "thirteen trillion, six hundred forty-one billion, eighty-four million, four hundred eleven thousand, five hundred twenty-one".

Divisors: 1 7 47 329 103511 400559 724577 2803913 4865017 18826273 34055119 131783911 41462262649 290235838543 1948726344503 13641084411521