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12818545872 = 24311100924061
BaseRepresentation
bin10111111000000101…
…10111110011010000
31020002100100121012020
423330002313303100
5202223021431442
65515545531440
7632440561566
oct137402676320
936070317166
1012818545872
11548880a270
122598aa3b80
13129390bcb2
14898613a36
1550055c9ec
hex2fc0b7cd0

12818545872 has 80 divisors (see below), whose sum is σ = 36162298560. Its totient is φ = 3880396800.

The previous prime is 12818545823. The next prime is 12818545877. The reversal of 12818545872 is 27854581821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12818545877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520722 + ... + 544782.

It is an arithmetic number, because the mean of its divisors is an integer number (452028732).

Almost surely, 212818545872 is an apocalyptic number.

12818545872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12818545872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18081149280).

12818545872 is an abundant number, since it is smaller than the sum of its proper divisors (23343752688).

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

12818545872 is a wasteful number, since it uses less digits than its factorization.

12818545872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25092 (or 25086 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 51.

The spelling of 12818545872 in words is "twelve billion, eight hundred eighteen million, five hundred forty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1009 2018 3027 4036 6054 8072 11099 12108 16144 22198 24061 24216 33297 44396 48122 48432 66594 72183 88792 96244 133188 144366 177584 192488 264671 266376 288732 384976 529342 532752 577464 794013 1058684 1154928 1588026 2117368 3176052 4234736 6352104 12704208 24277549 48555098 72832647 97110196 145665294 194220392 267053039 291330588 388440784 534106078 582661176 801159117 1068212156 1165322352 1602318234 2136424312 3204636468 4272848624 6409272936 12818545872