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5106342508784 = 2411174783356819
BaseRepresentation
bin100101001001110100110…
…1110110011100011110000
3200002011100210022022001122
41022103221232303203300
51132130242140240114
614505453225321412
71034630633112656
oct112235156634360
920064323268048
105106342508784
111699651251360
126a5787936268
132b06ab901c8a
14139210cd2dd6
158cc6369ce8e
hex4a4e9bb38f0

5106342508784 has 80 divisors (see below), whose sum is σ = 11430251988480. Its totient is φ = 2184068705280.

The previous prime is 5106342508769. The next prime is 5106342508831. The reversal of 5106342508784 is 4878052436015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14132327 + ... + 14489145.

It is an arithmetic number, because the mean of its divisors is an integer number (142878149856).

Almost surely, 25106342508784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106342508784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715125994240).

5106342508784 is an abundant number, since it is smaller than the sum of its proper divisors (6323909479696).

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

5106342508784 is a wasteful number, since it uses less digits than its factorization.

5106342508784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361638 (or 361632 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 53.

The spelling of 5106342508784 in words is "five trillion, one hundred six billion, three hundred forty-two million, five hundred eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 4783 9566 19132 38264 52613 76528 81311 105226 162622 210452 325244 356819 420904 650488 713638 841808 894421 1300976 1427276 1788842 2854552 3577684 3925009 5709104 6065923 7155368 7850018 12131846 14310736 15700036 24263692 31400072 48527384 62800144 66725153 97054768 133450306 266900612 533801224 1067602448 1706665277 3413330554 6826661108 13653322216 18773318047 27306644432 29013309709 37546636094 58026619418 75093272188 116053238836 150186544376 232106477672 300373088752 319146406799 464212955344 638292813598 1276585627196 2553171254392 5106342508784