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41329288133208 = 23333743120263543
BaseRepresentation
bin10010110010110101110011…
…00010011011101001011000
312102100001010011001210021000
421121122321202123221120
520404114340230230313
6223522225102145000
711463641200536525
oct1131327142335130
9172301104053230
1041329288133208
111219471a776229
124775a86b82160
131a0a44842142a
14a2c4c372614c
154ba10a002673
hex2596b989ba58

41329288133208 has 128 divisors (see below), whose sum is σ = 120648387340800. Its totient is φ = 13092370236288.

The previous prime is 41329288133197. The next prime is 41329288133261. The reversal of 41329288133208 is 80233188292314.

41329288133208 is a `hidden beast` number, since 4 + 1 + 3 + 29 + 288 + 1 + 332 + 0 + 8 = 666.

41329288133208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×413292881332082 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59788116 + ... + 60475427.

It is an arithmetic number, because the mean of its divisors is an integer number (942565526100).

Almost surely, 241329288133208 is an apocalyptic number.

It is an amenable number.

41329288133208 is an abundant number, since it is smaller than the sum of its proper divisors (79319099207592).

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

41329288133208 is a wasteful number, since it uses less digits than its factorization.

41329288133208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120263638 (or 120263628 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 41329288133208 in words is "forty-one trillion, three hundred twenty-nine billion, two hundred eighty-eight million, one hundred thirty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 43 54 72 74 86 108 111 129 148 172 216 222 258 296 333 344 387 444 516 666 774 888 999 1032 1161 1332 1548 1591 1998 2322 2664 3096 3182 3996 4644 4773 6364 7992 9288 9546 12728 14319 19092 28638 38184 42957 57276 85914 114552 171828 343656 120263543 240527086 360790629 481054172 721581258 962108344 1082371887 1443162516 2164743774 2886325032 3247115661 4329487548 4449751091 5171332349 6494231322 8658975096 8899502182 10342664698 12988462644 13349253273 15513997047 17799004364 20685329396 25976925288 26698506546 31027994094 35598008728 40047759819 41370658792 46541991141 53397013092 62055988188 80095519638 93083982282 106794026184 120143279457 124111976376 139625973423 160191039276 186167964564 191339296913 240286558914 279251946846 320382078552 372335929128 382678593826 480573117828 558503893692 574017890739 765357187652 961146235656 1117007787384 1148035781478 1530714375304 1722053672217 2296071562956 3444107344434 4592143125912 5166161016651 6888214688868 10332322033302 13776429377736 20664644066604 41329288133208