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5106343357240 = 2355361137328759
BaseRepresentation
bin100101001001110100111…
…0010000010101100111000
3200002011100211220101220221
41022103221302002230320
51132130242344412430
614505453255425424
71034630643245416
oct112235162025470
920064324811827
105106343357240
111699651780864
126a5788085274
132b06abb3b218
141392110742b6
158cc637b957a
hex4a4e9c82b38

5106343357240 has 128 divisors (see below), whose sum is σ = 11907033436800. Its totient is φ = 1969642321920.

The previous prime is 5106343357223. The next prime is 5106343357319. The reversal of 5106343357240 is 427533436015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177541981 + ... + 177570739.

It is an arithmetic number, because the mean of its divisors is an integer number (93023698725).

Almost surely, 25106343357240 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 5106343357240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953516718400).

5106343357240 is an abundant number, since it is smaller than the sum of its proper divisors (6800690079560).

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

5106343357240 is a wasteful number, since it uses less digits than its factorization.

5106343357240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30257 (or 30253 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 43.

The spelling of 5106343357240 in words is "five trillion, one hundred six billion, three hundred forty-three million, three hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 61 106 122 212 244 265 305 424 488 530 610 1060 1220 1373 2120 2440 2746 3233 5492 6466 6865 10984 12932 13730 16165 25864 27460 28759 32330 54920 57518 64660 72769 83753 115036 129320 143795 145538 167506 230072 287590 291076 335012 363845 418765 575180 582152 670024 727690 837530 1150360 1455380 1524227 1675060 1754299 2910760 3048454 3350120 3508598 4438909 6096908 7017196 7621135 8771495 8877818 12193816 14034392 15242270 17542990 17755636 22194545 30484540 35085980 35511272 39486107 44389090 60969080 70171960 78972214 88778180 92977847 157944428 177556360 185955694 197430535 315888856 371911388 394861070 464889235 743822776 789722140 929778470 1579444280 1859556940 2092763671 2408652527 3719113880 4185527342 4817305054 8371054684 9634610108 10463818355 12043262635 16742109368 19269220216 20927636710 24086525270 41855273420 48173050540 83710546840 96346101080 127658583931 255317167862 510634335724 638292919655 1021268671448 1276585839310 2553171678620 5106343357240