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34112454616616 = 2317229836960793
BaseRepresentation
bin1111100000110011011001…
…01111010110011000101000
311110210010012121120212202212
413300121230233112120220
513432344301340212431
6200315013441544252
710120354266022415
oct760315457263050
9143703177525685
1034112454616616
11a962013359602
1239ab280045088
131605a3813403c
1485d0a18a910c
153e25235e072b
hex1f066cbd6628

34112454616616 has 96 divisors (see below), whose sum is σ = 70297044507000. Its totient is φ = 15497263939584.

The previous prime is 34112454616613. The next prime is 34112454616621. The reversal of 34112454616616 is 61661645421143.

It can be written as a sum of positive squares in 12 ways, for example, as 21904740062500 + 12207714554116 = 4680250^2 + 3493954^2 .

It is not an unprimeable number, because it can be changed into a prime (34112454616613) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 561094316 + ... + 561155108.

Almost surely, 234112454616616 is an apocalyptic number.

It is an amenable number.

34112454616616 is an abundant number, since it is smaller than the sum of its proper divisors (36184589890384).

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

34112454616616 is a wasteful number, since it uses less digits than its factorization.

34112454616616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69231 (or 69210 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 50.

The spelling of 34112454616616 in words is "thirty-four trillion, one hundred twelve billion, four hundred fifty-four million, six hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 289 493 578 986 1156 1972 2312 3944 8369 8381 16738 16762 33476 33524 60793 66952 67048 121586 142273 242701 243172 284546 485402 486344 569092 970804 1033481 1138184 1762997 1941608 2066962 2418641 3525994 4125917 4133924 4837282 7051988 8251834 8267848 9674564 14103976 16503668 17569177 19349128 29970949 33007336 35138354 59941898 70140589 70276708 119883796 140281178 140553416 239767592 280562356 508776617 509506133 561124712 1017553234 1019012266 2035106468 2038024532 4070212936 4076049064 8649202489 14754521893 17298404978 29509043786 34596809956 59018087572 69193619912 118036175144 147036442313 250826872181 294072884626 501653744362 588145769252 1003307488724 1176291538504 2006614977448 4264056827077 8528113654154 17056227308308 34112454616616