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12692285096328 = 23321043316896553
BaseRepresentation
bin1011100010110010011100…
…1001010000000110001000
31122221101000011121210021100
42320230213021100012020
53130422244441040303
642554431050141400
72446662441153345
oct270544711200610
948841004553240
1012692285096328
11405384a060152
12150ba24721860
13710b536c6966
1431c44a42d7cc
1517024ea458a3
hexb8b27250188

12692285096328 has 48 divisors (see below), whose sum is σ = 34378235665020. Its totient is φ = 4230355931136.

The previous prime is 12692285096287. The next prime is 12692285096333. The reversal of 12692285096328 is 82369058229621.

12692285096328 is a `hidden beast` number, since 1 + 2 + 6 + 92 + 2 + 8 + 509 + 6 + 32 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12677430849444 + 14854246884 = 3560538^2 + 121878^2 .

It is a super-2 number, since 2×126922850963282 (a number of 27 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 7697101 + ... + 9199452.

Almost surely, 212692285096328 is an apocalyptic number.

12692285096328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12692285096328 is an abundant number, since it is smaller than the sum of its proper divisors (21685950568692).

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

12692285096328 is a wasteful number, since it uses less digits than its factorization.

12692285096328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16906998 (or 16906991 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 12692285096328 in words is "twelve trillion, six hundred ninety-two billion, two hundred eighty-five million, ninety-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 10433 20866 31299 41732 62598 83464 93897 125196 187794 250392 375588 751176 16896553 33793106 50689659 67586212 101379318 135172424 152068977 202758636 304137954 405517272 608275908 1216551816 176281737449 352563474898 528845212347 705126949796 1057690424694 1410253899592 1586535637041 2115380849388 3173071274082 4230761698776 6346142548164 12692285096328