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66004042444416 = 27347387207269
BaseRepresentation
bin11110000000111110000111…
…00000001110111010000000
322122200220222012111112010000
433000133003200032322000
532122402234331210131
6352213501041040000
716621430462602056
oct1700370340167200
9278626865445100
1066004042444416
111a03818026890a
1274a0038326000
132aaa20157101b
1412428813681d6
15796db3896ce6
hex3c07c380ee80

66004042444416 has 160 divisors (see below), whose sum is σ = 199117743372900. Its totient is φ = 21699958910976.

The previous prime is 66004042444411. The next prime is 66004042444423. The reversal of 66004042444416 is 61444424040066.

66004042444416 is a `hidden beast` number, since 6 + 600 + 4 + 0 + 4 + 24 + 4 + 4 + 4 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55203354570816 + 10800687873600 = 7429896^2 + 3286440^2 .

It is not an unprimeable number, because it can be changed into a prime (66004042444411) by changing a digit.

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, 42846771 + ... + 44360498.

Almost surely, 266004042444416 is an apocalyptic number.

It is an amenable number.

66004042444416 is an abundant number, since it is smaller than the sum of its proper divisors (133113700928484).

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

66004042444416 is an equidigital number, since it uses as much as digits as its factorization.

66004042444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87207368 (or 87207347 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 66004042444416 in words is "sixty-six trillion, four billion, forty-two million, four hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 128 144 146 162 192 216 219 288 292 324 384 432 438 576 584 648 657 864 876 1152 1168 1296 1314 1728 1752 1971 2336 2592 2628 3456 3504 3942 4672 5184 5256 5913 7008 7884 9344 10368 10512 11826 14016 15768 21024 23652 28032 31536 42048 47304 63072 84096 94608 126144 189216 252288 378432 756864 87207269 174414538 261621807 348829076 523243614 697658152 784865421 1046487228 1395316304 1569730842 2092974456 2354596263 2790632608 3139461684 4185948912 4709192526 5581265216 6278923368 6366130637 7063788789 8371897824 9418385052 11162530432 12557846736 12732261274 14127577578 16743795648 18836770104 19098391911 25115693472 25464522548 28255155156 33487591296 37673540208 38196783822 50231386944 50929045096 56510310312 57295175733 75347080416 76393567644 100462773888 101858090192 113020620624 114590351466 150694160832 152787135288 171885527199 203716180384 226041241248 229180702932 301388321664 305574270576 343771054398 407432360768 452082482496 458361405864 515656581597 611148541152 687542108796 814864721536 904164964992 916722811728 1031313163194 1222297082304 1375084217592 1833445623456 2062626326388 2444594164608 2750168435184 3666891246912 4125252652776 5500336870368 7333782493824 8250505305552 11000673740736 16501010611104 22001347481472 33002021222208 66004042444416