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11532602406 = 23131916347741
BaseRepresentation
bin10101011110110010…
…11000110000100110
31002202201121220101110
422233121120300212
5142104321234111
65144211405450
7555534334353
oct125731306046
932681556343
1011532602406
114988942976
12229a2b3886
13111a3860c0
147b591162a
154776e75a6
hex2af658c26

11532602406 has 64 divisors (see below), whose sum is σ = 26307751680. Its totient is φ = 3341036160.

The previous prime is 11532602401. The next prime is 11532602429. The reversal of 11532602406 is 60420623511.

11532602406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11532602401) 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, 217696 + ... + 265436.

It is an arithmetic number, because the mean of its divisors is an integer number (411058620).

Almost surely, 211532602406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11532602406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153875840).

11532602406 is an abundant number, since it is smaller than the sum of its proper divisors (14775149274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11532602406 is a wasteful number, since it uses less digits than its factorization.

11532602406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47941.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 11532602406 in words is "eleven billion, five hundred thirty-two million, six hundred two thousand, four hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 163 247 326 489 494 741 978 1482 2119 3097 4238 6194 6357 9291 12714 18582 40261 47741 80522 95482 120783 143223 241566 286446 620633 907079 1241266 1814158 1861899 2721237 3723798 5442474 7781783 11792027 15563566 23345349 23584054 35376081 46690698 70752162 101163179 147853877 202326358 295707754 303489537 443561631 606979074 887123262 1922100401 3844200802 5766301203 11532602406