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12665611392 = 27376770327
BaseRepresentation
bin10111100101110110…
…11110010010000000
31012200200120201112020
423302323132102000
5201414344031032
65452444001440
7625602630510
oct136273362200
935620521466
1012665611392
11540a453335
122555830280
13126b023515
148821a3840
154e1dedb2c
hex2f2ede480

12665611392 has 128 divisors (see below), whose sum is σ = 39023600640. Its totient is φ = 3564684288.

The previous prime is 12665611381. The next prime is 12665611487. The reversal of 12665611392 is 29311656621.

12665611392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144933 + ... + 215259.

It is an arithmetic number, because the mean of its divisors is an integer number (304871880).

Almost surely, 212665611392 is an apocalyptic number.

12665611392 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 12665611392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19511800320).

12665611392 is an abundant number, since it is smaller than the sum of its proper divisors (26357989248).

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

12665611392 is an equidigital number, since it uses as much as digits as its factorization.

12665611392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70418 (or 70406 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The spelling of 12665611392 in words is "twelve billion, six hundred sixty-five million, six hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 268 336 384 402 448 469 536 672 804 896 938 1072 1344 1407 1608 1876 2144 2688 2814 3216 3752 4288 5628 6432 7504 8576 11256 12864 15008 22512 25728 30016 45024 60032 70327 90048 140654 180096 210981 281308 421962 492289 562616 843924 984578 1125232 1476867 1687848 1969156 2250464 2953734 3375696 3938312 4500928 4711909 5907468 6751392 7876624 9001856 9423818 11814936 13502784 14135727 15753248 18847636 23629872 27005568 28271454 31506496 32983363 37695272 47259744 56542908 63012992 65966726 75390544 94519488 98950089 113085816 131933452 150781088 189038976 197900178 226171632 263866904 301562176 395800356 452343264 527733808 603124352 791600712 904686528 1055467616 1583201424 1809373056 2110935232 3166402848 4221870464 6332805696 12665611392