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34708566816 = 25327111565141
BaseRepresentation
bin100000010100110010…
…101011001100100000
310022120220021212202200
4200110302223030200
51032040343114231
623540033013200
72336052643620
oct402462531440
9108526255680
1034708566816
11137a1098a70
1268879b4200
133371a35301
141973926880
15d821b4be6
hex814cab320

34708566816 has 144 divisors (see below), whose sum is σ = 123057724608. Its totient is φ = 9015206400.

The previous prime is 34708566793. The next prime is 34708566853. The reversal of 34708566816 is 61866580743.

34708566816 is a `hidden beast` number, since 3 + 4 + 70 + 8 + 566 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×347085668162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760395 + ... + 804746.

It is an arithmetic number, because the mean of its divisors is an integer number (854567532).

Almost surely, 234708566816 is an apocalyptic number.

34708566816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34708566816 is an abundant number, since it is smaller than the sum of its proper divisors (88349157792).

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

34708566816 is a wasteful number, since it uses less digits than its factorization.

34708566816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565175 (or 1565164 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 34708566816 in words is "thirty-four billion, seven hundred eight million, five hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 1565141 3130282 4695423 6260564 9390846 10955987 12521128 14086269 17216551 18781692 21911974 25042256 28172538 32867961 34433102 37563384 43823948 50084512 51649653 56345076 65735922 68866204 75126768 87647896 98603883 103299306 112690152 120515857 131471844 137732408 150253536 154948959 175295792 197207766 206598612 225380304 241031714 262943688 275464816 309897918 350591584 361547571 394415532 413197224 450760608 482063428 525887376 550929632 619795836 723095142 788831064 826394448 964126856 1051774752 1084642713 1239591672 1446190284 1577662128 1652788896 1928253712 2169285426 2479183344 2892380568 3155324256 3856507424 4338570852 4958366688 5784761136 8677141704 11569522272 17354283408 34708566816