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11682523535 = 571109301913
BaseRepresentation
bin10101110000101010…
…10010100110001111
31010011011201200111212
422320111102212033
5142411211223120
65211125005035
7562334545244
oct127025224617
933134650455
1011682523535
114a55530931
12232055377b
131142458127
147cb7b95cb
1548595d6c5
hex2b855298f

11682523535 has 16 divisors (see below), whose sum is σ = 14346953280. Its totient is φ = 9129818880.

The previous prime is 11682523493. The next prime is 11682523543. The reversal of 11682523535 is 53532528611.

It is a happy number.

11682523535 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11682523535 is a prime.

It is a super-3 number, since 3×116825235353 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11682523492 and 11682523501.

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 15 ways as a sum of consecutive naturals, for example, 112262 + ... + 189651.

It is an arithmetic number, because the mean of its divisors is an integer number (896684580).

Almost surely, 211682523535 is an apocalyptic number.

11682523535 is a deficient number, since it is larger than the sum of its proper divisors (2664429745).

11682523535 is a wasteful number, since it uses less digits than its factorization.

11682523535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302098.

The product of its digits is 216000, while the sum is 41.

The spelling of 11682523535 in words is "eleven billion, six hundred eighty-two million, five hundred twenty-three thousand, five hundred thirty-five".

Divisors: 1 5 71 109 355 545 7739 38695 301913 1509565 21435823 32908517 107179115 164542585 2336504707 11682523535