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11406869181 = 3214935324097
BaseRepresentation
bin10101001111110011…
…10000001010111101
31002102222000222211100
422213321300022331
5141330124303211
65123520443313
7552446534241
oct124771601275
932388028740
1011406869181
114923975714
122264179539
1310ca302746
147a2d42421
1546b65d156
hex2a7e702bd

11406869181 has 24 divisors (see below), whose sum is σ = 16634849400. Its totient is φ = 7531831296.

The previous prime is 11406869179. The next prime is 11406869207. The reversal of 11406869181 is 18196860411.

It is a happy number.

11406869181 is a `hidden beast` number, since 1 + 1 + 406 + 8 + 69 + 181 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 909022500 + 10497846681 = 30150^2 + 102459^2 .

It is not a de Polignac number, because 11406869181 - 21 = 11406869179 is a prime.

It is a super-2 number, since 2×114068691812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11406869081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461325 + ... + 485421.

It is an arithmetic number, because the mean of its divisors is an integer number (693118725).

Almost surely, 211406869181 is an apocalyptic number.

It is an amenable number.

11406869181 is a deficient number, since it is larger than the sum of its proper divisors (5227980219).

11406869181 is a wasteful number, since it uses less digits than its factorization.

11406869181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24605 (or 24602 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 11406869181 in words is "eleven billion, four hundred six million, eight hundred sixty-nine thousand, one hundred eighty-one".

Divisors: 1 3 9 149 353 447 1059 1341 3177 24097 52597 72291 157791 216873 473373 3590453 8506241 10771359 25518723 32314077 76556169 1267429909 3802289727 11406869181