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8132118838340 = 2257313109602689
BaseRepresentation
bin111011001010110100000…
…0011011111110001000100
31001210102102100021210021012
41312111220003133301010
52031214034410311330
625143502133141352
71466345325420650
oct166255003376104
931712370253235
108132118838340
1126558a3097a32
12ab408618a858
1346cb17751293
1420184d2d9a60
15e1805d12c95
hex765680dfc44

8132118838340 has 96 divisors (see below), whose sum is σ = 20153182156800. Its totient is φ = 2697342197760.

The previous prime is 8132118838289. The next prime is 8132118838387. The reversal of 8132118838340 is 438388112318.

It is a super-2 number, since 2×81321188383402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13191716 + ... + 13794404.

It is an arithmetic number, because the mean of its divisors is an integer number (209928980800).

Almost surely, 28132118838340 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 8132118838340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076591078400).

8132118838340 is an abundant number, since it is smaller than the sum of its proper divisors (12021063318460).

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

8132118838340 is a wasteful number, since it uses less digits than its factorization.

8132118838340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605845 (or 605843 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 50.

The spelling of 8132118838340 in words is "eight trillion, one hundred thirty-two billion, one hundred eighteen million, eight hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 3109 4340 6218 12436 15545 21763 31090 43526 62180 87052 96379 108815 192758 217630 385516 435260 481895 602689 674653 963790 1205378 1349306 1927580 2410756 2698612 3013445 3373265 4218823 6026890 6746530 8437646 12053780 13493060 16875292 18683359 21094115 37366718 42188230 74733436 84376460 93416795 130783513 186833590 261567026 373667180 523134052 653917565 1307835130 1873760101 2615670260 3747520202 7495040404 9368800505 13116320707 18737601010 26232641414 37475202020 52465282828 58086563131 65581603535 116173126262 131163207070 232346252524 262326414140 290432815655 406605941917 580865631310 813211883834 1161731262620 1626423767668 2033029709585 4066059419170 8132118838340