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12660744384 = 2632181121439
BaseRepresentation
bin10111100101010001…
…11010000011000000
31012200100102110020200
423302220322003000
5201412122310014
65452151405200
7625513360131
oct136250720300
935610373220
1012660744384
115407729712
122554083800
13126a00b132
14881697c88
154e178ba09
hex2f2a3a0c0

12660744384 has 84 divisors (see below), whose sum is σ = 36490534080. Its totient is φ = 4196897280.

The previous prime is 12660744377. The next prime is 12660744391. The reversal of 12660744384 is 48344706621.

12660744384 is a `hidden beast` number, since 1 + 2 + 6 + 607 + 4 + 4 + 38 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12660744377) and next prime (12660744391).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43537 + ... + 164975.

It is an arithmetic number, because the mean of its divisors is an integer number (434411120).

Almost surely, 212660744384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12660744384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18245267040).

12660744384 is an abundant number, since it is smaller than the sum of its proper divisors (23829789696).

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

12660744384 is a wasteful number, since it uses less digits than its factorization.

12660744384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121638 (or 121625 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 12660744384 in words is "twelve billion, six hundred sixty million, seven hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 181 192 288 362 543 576 724 1086 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 26064 34752 52128 104256 121439 242878 364317 485756 728634 971512 1092951 1457268 1943024 2185902 2914536 3886048 4371804 5829072 7772096 8743608 11658144 17487216 21980459 23316288 34974432 43960918 65941377 69948864 87921836 131882754 175843672 197824131 263765508 351687344 395648262 527531016 703374688 791296524 1055062032 1406749376 1582593048 2110124064 3165186096 4220248128 6330372192 12660744384