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106017990066 = 23219443699761
BaseRepresentation
bin110001010111100101…
…0100010010110110010
3101010122120112220122200
41202233022202112302
53214111101140231
6120412021244030
710442140022022
oct1425712422662
9333576486580
10106017990066
1140a6443410a
1218669263616
139cc7536b01
1451ba3d3a82
152b57727be6
hex18af2a25b2

106017990066 has 48 divisors (see below), whose sum is σ = 242341575840. Its totient is φ = 33403743360.

The previous prime is 106017990041. The next prime is 106017990097. The reversal of 106017990066 is 660099710601.

It is a super-2 number, since 2×1060179900662 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198375 + ... + 501386.

It is an arithmetic number, because the mean of its divisors is an integer number (5048782830).

Almost surely, 2106017990066 is an apocalyptic number.

106017990066 is an abundant number, since it is smaller than the sum of its proper divisors (136323585774).

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

106017990066 is a wasteful number, since it uses less digits than its factorization.

106017990066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700231 (or 700228 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 106017990066 in words is "one hundred six billion, seventeen million, nine hundred ninety thousand, sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 443 886 1329 2658 3987 7974 8417 16834 25251 50502 75753 151506 699761 1399522 2099283 4198566 6297849 12595698 13295459 26590918 39886377 79772754 119659131 239318262 309994123 619988246 929982369 1859964738 2789947107 5579894214 5889888337 11779776674 17669665011 35339330022 53008995033 106017990066