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12666246453216 = 253318713783413
BaseRepresentation
bin1011100001010001011100…
…0111101101011111100000
31122211212210111022122222000
42320110113013231133200
53130010433043000331
642534443203444000
72445051252304056
oct270242707553740
948755714278860
1012666246453216
1140437a7a07194
121506978386600
1370b563c43225
1431b09a15a1d6
1516e728aac0e6
hexb85171ed7e0

12666246453216 has 96 divisors (see below), whose sum is σ = 36945240181920. Its totient is φ = 4221851139072.

The previous prime is 12666246453193. The next prime is 12666246453221. The reversal of 12666246453216 is 61235464266621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15776326 + ... + 16559738.

It is an arithmetic number, because the mean of its divisors is an integer number (384846251895).

Almost surely, 212666246453216 is an apocalyptic number.

12666246453216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12666246453216 is an abundant number, since it is smaller than the sum of its proper divisors (24278993728704).

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

12666246453216 is a wasteful number, since it uses less digits than its factorization.

12666246453216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802145 (or 802131 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 12666246453216 in words is "twelve trillion, six hundred sixty-six billion, two hundred forty-six million, four hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 18713 37426 56139 74852 112278 149704 168417 224556 299408 336834 449112 505251 598816 673668 783413 898224 1010502 1347336 1566826 1796448 2021004 2350239 2694672 3133652 4042008 4700478 5389344 6267304 7050717 8084016 9400956 12534608 14101434 16168032 18801912 21152151 25069216 28202868 37603824 42304302 56405736 75207648 84608604 112811472 169217208 225622944 338434416 676868832 14660007469 29320014938 43980022407 58640029876 87960044814 117280059752 131940067221 175920089628 234560119504 263880134442 351840179256 395820201663 469120239008 527760268884 703680358512 791640403326 1055520537768 1407360717024 1583280806652 2111041075536 3166561613304 4222082151072 6333123226608 12666246453216