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34283671911048 = 23371915083712093
BaseRepresentation
bin1111100101110010010100…
…00101011111101010001000
311111101111011001010121221010
413302321022011133222020
513443200430002123143
6200525411302443520
710135625231016060
oct762711205375210
9144344131117833
1034283671911048
11aa1869502502a
123a184a44335a0
131618c23329391
148674a50943a0
153e6be4c40a33
hex1f2e4a15fa88

34283671911048 has 128 divisors (see below), whose sum is σ = 103115768601600. Its totient is φ = 9279162614016.

The previous prime is 34283671911019. The next prime is 34283671911179. The reversal of 34283671911048 is 84011917638243.

It is a super-3 number, since 3×342836719110483 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 47788890 + ... + 48500982.

It is an arithmetic number, because the mean of its divisors is an integer number (805591942200).

Almost surely, 234283671911048 is an apocalyptic number.

34283671911048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34283671911048 is an abundant number, since it is smaller than the sum of its proper divisors (68832096690552).

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

34283671911048 is a wasteful number, since it uses less digits than its factorization.

34283671911048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727211 (or 727207 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 34283671911048 in words is "thirty-four trillion, two hundred eighty-three billion, six hundred seventy-one million, nine hundred eleven thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 15083 30166 45249 60332 90498 105581 120664 180996 211162 286577 316743 361992 422324 573154 633486 712093 844648 859731 1146308 1266972 1424186 1719462 2006039 2136279 2292616 2533944 2848372 3438924 4012078 4272558 4984651 5696744 6018117 6877848 8024156 8545116 9969302 12036234 13529767 14953953 16048312 17090232 19938604 24072468 27059534 29907906 39877208 40589301 48144936 54119068 59815812 81178602 94708369 108238136 119631624 162357204 189416738 284125107 324714408 378833476 568250214 757666952 1136500428 2273000856 10740498719 21480997438 32221496157 42961994876 64442992314 75183491033 85923989752 128885984628 150366982066 204069475661 225550473099 257771969256 300733964132 408138951322 451100946198 601467928264 612208426983 816277902644 902201892396 1224416853966 1428486329627 1632555805288 1804403784792 2448833707932 2856972659254 4285458988881 4897667415864 5713945318508 8570917977762 11427890637016 17141835955524 34283671911048