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13507643241 = 331514397547
BaseRepresentation
bin11001001010001111…
…00100011101101001
31021212101000101002000
430211013210131221
5210130424040431
610112203401213
7655506034041
oct144507443551
937771011060
1013507643241
115801792324
12274b823209
131373601a11
14921d50721
15540cc99e6
hex3251e4769

13507643241 has 32 divisors (see below), whose sum is σ = 20192409600. Its totient is φ = 8923899600.

The previous prime is 13507643231. The next prime is 13507643269. The reversal of 13507643241 is 14234670531.

13507643241 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 7 + 643 + 2 + 4 + 1 = 666.

13507643241 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 13507643241 - 213 = 13507635049 is a prime.

It is a super-2 number, since 2×135076432412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13507643196 and 13507643205.

It is not an unprimeable number, because it can be changed into a prime (13507643221) 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 31 ways as a sum of consecutive naturals, for example, 1786030 + ... + 1793576.

It is an arithmetic number, because the mean of its divisors is an integer number (631012800).

Almost surely, 213507643241 is an apocalyptic number.

It is an amenable number.

13507643241 is a deficient number, since it is larger than the sum of its proper divisors (6684766359).

13507643241 is a wasteful number, since it uses less digits than its factorization.

13507643241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13507643241 in words is "thirteen billion, five hundred seven million, six hundred forty-three thousand, two hundred forty-one".

Divisors: 1 3 9 27 151 439 453 1317 1359 3951 4077 7547 11853 22641 66289 67923 198867 203769 596601 1139597 1789803 3313133 3418791 9939399 10256373 29818197 30769119 89454591 500283083 1500849249 4502547747 13507643241