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11639168838 = 23211237314327
BaseRepresentation
bin10101101011011111…
…11001111101000110
31010001011011001001100
422311233321331012
5142314111400323
65202535440530
7561300205563
oct126557717506
933034131040
1011639168838
114a33009900
122309b26146
13113648866b
147c5b3186a
15481c47943
hex2b5bf9f46

11639168838 has 72 divisors (see below), whose sum is σ = 27795431664. Its totient is φ = 3517319520.

The previous prime is 11639168833. The next prime is 11639168851. The reversal of 11639168838 is 83886193611.

11639168838 is a `hidden beast` number, since 116 + 391 + 68 + 83 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11639168831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 805231 + ... + 819557.

It is an arithmetic number, because the mean of its divisors is an integer number (386047662).

Almost surely, 211639168838 is an apocalyptic number.

11639168838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11639168838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13897715832).

11639168838 is an abundant number, since it is smaller than the sum of its proper divisors (16156262826).

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

11639168838 is a wasteful number, since it uses less digits than its factorization.

11639168838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14730 (or 14716 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 11639168838 in words is "eleven billion, six hundred thirty-nine million, one hundred sixty-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 373 726 746 1089 1119 2178 2238 3357 4103 6714 8206 12309 14327 24618 28654 36927 42981 45133 73854 85962 90266 128943 135399 157597 257886 270798 315194 406197 472791 812394 945582 1418373 1733567 2836746 3467134 5200701 5343971 10401402 10687942 15602103 16031913 31204206 32063826 48095739 58783681 96191478 117567362 176351043 352702086 529053129 646620491 1058106258 1293240982 1939861473 3879722946 5819584419 11639168838