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29118116252706 = 23132374093189619
BaseRepresentation
bin1101001111011100101101…
…11110011100110000100010
310211002122221120211200000020
412213232112332130300202
512304032400230041311
6141532402233534310
76063500031254025
oct647562676346042
9124078846750006
1029118116252706
119306a18576038
123323352274396
131332a98cc7b00
147294780131bc
15357667e6ac06
hex1a7b96f9cc22

29118116252706 has 96 divisors (see below), whose sum is σ = 64781039557440. Its totient is φ = 8715098126592.

The previous prime is 29118116252683. The next prime is 29118116252711. The reversal of 29118116252706 is 60725261181192.

It is a super-2 number, since 2×291181162527062 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153466365 + ... + 153655983.

It is an arithmetic number, because the mean of its divisors is an integer number (674802495390).

Almost surely, 229118116252706 is an apocalyptic number.

29118116252706 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29118116252706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32390519778720).

29118116252706 is an abundant number, since it is smaller than the sum of its proper divisors (35662923304734).

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

29118116252706 is a wasteful number, since it uses less digits than its factorization.

29118116252706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193780 (or 193767 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 29118116252706 in words is "twenty-nine trillion, one hundred eighteen billion, one hundred sixteen million, two hundred fifty-two thousand, seven hundred six".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 169 222 338 481 507 962 1014 1443 2886 4093 6253 8186 12279 12506 18759 24558 37518 53209 106418 151441 159627 189619 302882 319254 379238 454323 568857 691717 908646 1137714 1383434 1968733 2075151 2465047 3937466 4150302 4930094 5906199 7015903 7395141 11812398 14031806 14790282 21047709 25593529 32045611 42095418 51187058 64091222 76780587 91206739 96136833 153561174 182413478 192273666 273620217 547240434 776110567 1185687607 1552221134 2328331701 2371375214 3557062821 4656663402 7114125642 10089437371 20178874742 28716090979 30268312113 57432181958 60536624226 86148272937 131162685823 172296545874 262325371646 373309182727 393488057469 746618365454 786976114938 1119927548181 2239855096362 4853019375451 9706038750902 14559058126353 29118116252706