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12366081703936 = 2148323312
BaseRepresentation
bin1011001111110011001111…
…1010000100000000000000
31121210012000111101111200201
42303330303322010000000
53110101213404011221
642144522143254544
72414264014112002
oct263746372040000
947705014344621
1012366081703936
113a38475814364
1214787678aa454
136b9168c5024c
1430a7431b0372
15166a0bc08891
hexb3f33e84000

12366081703936 has 135 divisors (see below), whose sum is σ = 25108824190863. Its totient is φ = 6090091560960.

The previous prime is 12366081703933. The next prime is 12366081703951. The reversal of 12366081703936 is 63930718066321.

The square root of 12366081703936 is 3516544.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12366081703933) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37359763291 + ... + 37359763621.

Almost surely, 212366081703936 is an apocalyptic number.

12366081703936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12366081703936 is the 3516544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12366081703936

12366081703936 is an abundant number, since it is smaller than the sum of its proper divisors (12742742486927).

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

12366081703936 is an frugal number, since it uses more digits than its factorization.

12366081703936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 12366081703936 in words is "twelve trillion, three hundred sixty-six billion, eighty-one million, seven hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 331 332 512 662 664 1024 1324 1328 2048 2648 2656 4096 5296 5312 6889 8192 10592 10624 13778 16384 21184 21248 27473 27556 42368 42496 54946 55112 84736 84992 109561 109892 110224 169472 169984 219122 219784 220448 338944 339968 438244 439568 440896 677888 679936 876488 879136 881792 1355776 1359872 1752976 1758272 1763584 2280259 2711552 3505952 3516544 3527168 4560518 5423104 7011904 7033088 7054336 9093563 9121036 14023808 14066176 14108672 18187126 18242072 28047616 28132352 28217344 36374252 36484144 56095232 56264704 56434688 72748504 72968288 112190464 112529408 112869376 145497008 145936576 224380928 225058816 290994016 291873152 448761856 450117632 581988032 583746304 754765729 897523712 1163976064 1167492608 1509531458 1795047424 2327952128 2334985216 3019062916 4655904256 4669970432 6038125832 9311808512 9339940864 12076251664 18623617024 18679881728 24152503328 37247234048 37359763456 48305006656 74494468096 96610013312 148988936192 193220026624 386440053248 772880106496 1545760212992 3091520425984 6183040851968 12366081703936