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12693951918 = 23217347119549
BaseRepresentation
bin10111101001001111…
…00101010110101110
31012202122220120102100
423310213211112232
5201444122430133
65455335235530
7626365545114
oct136447452656
935678816370
1012693951918
11542444aa5a
122563218ba6
131273b6706b
14885c5dab4
154e464ae13
hex2f49e55ae

12693951918 has 48 divisors (see below), whose sum is σ = 29205586800. Its totient is φ = 3970906368.

The previous prime is 12693951899. The next prime is 12693951937. The reversal of 12693951918 is 81915939621.

12693951918 is a `hidden beast` number, since 1 + 2 + 69 + 395 + 191 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12693951899) and next prime (12693951937).

It is a super-2 number, since 2×126939519182 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46408 + ... + 165956.

It is an arithmetic number, because the mean of its divisors is an integer number (608449725).

Almost surely, 212693951918 is an apocalyptic number.

12693951918 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 12693951918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602793400).

12693951918 is an abundant number, since it is smaller than the sum of its proper divisors (16511634882).

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

12693951918 is a wasteful number, since it uses less digits than its factorization.

12693951918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119921 (or 119918 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The spelling of 12693951918 in words is "twelve billion, six hundred ninety-three million, nine hundred fifty-one thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 347 694 1041 2082 3123 5899 6246 11798 17697 35394 53091 106182 119549 239098 358647 717294 1075941 2032333 2151882 4064666 6096999 12193998 18290997 36581994 41483503 82967006 124450509 248901018 373351527 705219551 746703054 1410439102 2115658653 4231317306 6346975959 12693951918