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12009492169992 = 233487473211873
BaseRepresentation
bin1010111011000010110110…
…0000111100010100001000
31120112002121011021022010000
42232300231200330110020
53033230414443414432
641313030132123000
72346441261066342
oct256605540742410
946462534238100
1012009492169992
113910219274699
12141b62a766460
1369164b113015
142d739650c292
1515c5db41a57c
hexaec2d83c508

12009492169992 has 80 divisors (see below), whose sum is σ = 33638241290940. Its totient is φ = 4003099398144.

The previous prime is 12009492169981. The next prime is 12009492170029. The reversal of 12009492169992 is 29996129490021.

12009492169992 is a `hidden beast` number, since 1 + 200 + 9 + 49 + 216 + 99 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9870743867076 + 2138748302916 = 3141774^2 + 1462446^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56576568 + ... + 56788440.

Almost surely, 212009492169992 is an apocalyptic number.

12009492169992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12009492169992 is an abundant number, since it is smaller than the sum of its proper divisors (21628749120948).

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

12009492169992 is a wasteful number, since it uses less digits than its factorization.

12009492169992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299364 (or 299351 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The spelling of 12009492169992 in words is "twelve trillion, nine billion, four hundred ninety-two million, one hundred sixty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 87473 174946 211873 262419 349892 423746 524838 635619 699784 787257 847492 1049676 1271238 1574514 1694984 1906857 2099352 2361771 2542476 3149028 3813714 4723542 5084952 5720571 6298056 7085313 7627428 9447084 11441142 14170626 15254856 17161713 18894168 22882284 28341252 34323426 45764568 56682504 68646852 137293704 18533166929 37066333858 55599500787 74132667716 111199001574 148265335432 166798502361 222398003148 333597004722 444796006296 500395507083 667194009444 1000791014166 1334388018888 1501186521249 2001582028332 3002373042498 4003164056664 6004746084996 12009492169992