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34583796706212 = 223213375933851123
BaseRepresentation
bin1111101110100001010101…
…11010101110101110100100
311112110011211020212220110100
413313100222322232232210
514013110103424044322
6201315324334424100
710166411502463635
oct767205272565644
9145404736786410
1034583796706212
11100239a6708826
123a666a3662030
13163b312c70680
14877c169dd88c
153ee90d350dac
hex1f742aeaeba4

34583796706212 has 144 divisors (see below), whose sum is σ = 98328036905280. Its totient is φ = 10178084553984.

The previous prime is 34583796706181. The next prime is 34583796706229. The reversal of 34583796706212 is 21260769738543.

It is a happy number.

34583796706212 is a `hidden beast` number, since 3 + 45 + 8 + 379 + 6 + 7 + 0 + 6 + 212 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34583796706212.

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, 15903918 + ... + 17947205.

It is an arithmetic number, because the mean of its divisors is an integer number (682833589620).

It is a 1-persistent number, because it is pandigital, but 2⋅34583796706212 = 69167593412424 is not.

Almost surely, 234583796706212 is an apocalyptic number.

It is an amenable number.

34583796706212 is an abundant number, since it is smaller than the sum of its proper divisors (63744240199068).

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

34583796706212 is a wasteful number, since it uses less digits than its factorization.

34583796706212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33851242 (or 33851237 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 34583796706212 in words is "thirty-four trillion, five hundred eighty-three billion, seven hundred ninety-six million, seven hundred six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 59 74 78 111 117 118 148 156 177 222 234 236 333 354 444 468 481 531 666 708 767 962 1062 1332 1443 1534 1924 2124 2183 2301 2886 3068 4329 4366 4602 5772 6549 6903 8658 8732 9204 13098 13806 17316 19647 26196 27612 28379 39294 56758 78588 85137 113516 170274 255411 340548 510822 1021644 33851123 67702246 101553369 135404492 203106738 304660107 406213476 440064599 609320214 880129198 1218640428 1252491551 1320193797 1760258396 1997216257 2504983102 2640387594 3757474653 3960581391 3994432514 5009966204 5280775188 5991648771 7514949306 7921162782 7988865028 11272423959 11983297542 15029898612 15842325564 16282390163 17974946313 22544847918 23966595084 25963811341 32564780326 35949892626 45089695836 48847170489 51927622682 65129560652 71899785252 73897001509 77891434023 97694340978 103855245364 146541511467 147794003018 155782868046 195388681956 221691004527 233674302069 293083022934 295588006036 311565736092 443382009054 467348604138 586166045868 665073013581 886764018108 934697208276 960661019617 1330146027162 1921322039234 2660292054324 2881983058851 3842644078468 5763966117702 8645949176553 11527932235404 17291898353106 34583796706212