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12291679387904 = 28729673530209
BaseRepresentation
bin1011001011011110000100…
…1011110000000100000000
31121112001222021022020112012
42302313201023300010000
53102341324410403104
642050415231352052
72406021162626510
oct262674113600400
947461867266465
1012291679387904
113a09965631084
121466262682628
136b213c741687
14306cc5a39840
15164b04da2d6e
hexb2de12f0100

12291679387904 has 144 divisors (see below), whose sum is σ = 29440256899200. Its totient is φ = 5010297126912.

The previous prime is 12291679387879. The next prime is 12291679387909. The reversal of 12291679387904 is 40978397619221.

It is not an unprimeable number, because it can be changed into a prime (12291679387909) by changing a digit.

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, 1716752 + ... + 5246960.

Almost surely, 212291679387904 is an apocalyptic number.

12291679387904 is a gapful number since it is divisible by the number (14) 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 12291679387904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14720128449600).

12291679387904 is an abundant number, since it is smaller than the sum of its proper divisors (17148577511296).

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

12291679387904 is an equidigital number, since it uses as much as digits as its factorization.

12291679387904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530328 (or 3530314 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 68.

The spelling of 12291679387904 in words is "twelve trillion, two hundred ninety-one billion, six hundred seventy-nine million, three hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 67 112 116 128 134 203 224 232 256 268 406 448 464 469 536 812 896 928 938 1072 1624 1792 1856 1876 1943 2144 3248 3712 3752 3886 4288 6496 7424 7504 7772 8576 12992 13601 15008 15544 17152 25984 27202 30016 31088 51968 54404 60032 62176 108808 120064 124352 217616 248704 435232 497408 870464 1740928 3481856 3530209 7060418 14120836 24711463 28241672 49422926 56483344 98845852 102376061 112966688 197691704 204752122 225933376 236524003 395383408 409504244 451866752 473048006 716632427 790766816 819008488 903733504 946096012 1433264854 1581533632 1638016976 1655668021 1892192024 2866529708 3163067264 3276033952 3311336042 3784384048 5733059416 6326134528 6552067904 6622672084 6859196087 7568768096 11466118832 13104135808 13245344168 13718392174 15137536192 22932237664 26208271616 26490688336 27436784348 30275072384 45864475328 48014372609 52981376672 54873568696 60550144768 91728950656 96028745218 105962753344 109747137392 183457901312 192057490436 211925506688 219494274784 384114980872 423851013376 438988549568 768229961744 877977099136 1536459923488 1755954198272 3072919846976 6145839693952 12291679387904