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12686277744 = 2432717740329
BaseRepresentation
bin10111101000010100…
…10011110001110000
31012202010110200102200
423310022103301300
5201440141341434
65454502543200
7626243403330
oct136412236160
935663420380
1012686277744
115420089268
122560737b00
1312723ab02a
14884c230c0
154e3b32199
hex2f4293c70

12686277744 has 120 divisors (see below), whose sum is σ = 42962830560. Its totient is φ = 3411431424.

The previous prime is 12686277733. The next prime is 12686277809. The reversal of 12686277744 is 44777268621.

12686277744 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 627 + 7 + 7 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353029 + ... + 387300.

It is an arithmetic number, because the mean of its divisors is an integer number (358023588).

Almost surely, 212686277744 is an apocalyptic number.

12686277744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12686277744 is an abundant number, since it is smaller than the sum of its proper divisors (30276552816).

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

12686277744 is a wasteful number, since it uses less digits than its factorization.

12686277744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740367 (or 740358 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The spelling of 12686277744 in words is "twelve billion, six hundred eighty-six million, two hundred seventy-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 740329 1480658 2220987 2961316 4441974 5182303 5922632 6662961 8883948 10364606 11845264 12585593 13325922 15546909 17767896 20729212 25171186 26651844 31093818 35535792 37756779 41458424 46640727 50342372 53303688 62187636 75513558 82916848 88099151 93281454 100684744 106607376 113270337 124375272 151027116 176198302 186562908 201369488 226540674 248750544 264297453 302054232 352396604 373125816 453081348 528594906 604108464 704793208 746251632 792892359 906162696 1057189812 1409586416 1585784718 1812325392 2114379624 3171569436 4228759248 6343138872 12686277744