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6495609942096 = 24311281308914173
BaseRepresentation
bin101111010000110000010…
…0001011111000001010000
3211222222022020002012211120
41132201200201133001100
51322411002121121341
621452013024042240
71240202161341102
oct136414041370120
924888266065746
106495609942096
112084855521420
1288aa86763380
133816c1b18c72
14186563d65572
15b3e74498066
hex5e86085f050

6495609942096 has 160 divisors (see below), whose sum is σ = 18378198898560. Its totient is φ = 1960588492800.

The previous prime is 6495609942013. The next prime is 6495609942097. The reversal of 6495609942096 is 6902499065946.

It is a self number, because there is not a number n which added to its sum of digits gives 6495609942096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6495609942097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458301666 + ... + 458315838.

It is an arithmetic number, because the mean of its divisors is an integer number (114863743116).

Almost surely, 26495609942096 is an apocalyptic number.

6495609942096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6495609942096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9189099449280).

6495609942096 is an abundant number, since it is smaller than the sum of its proper divisors (11882588956464).

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

6495609942096 is a wasteful number, since it uses less digits than its factorization.

6495609942096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17565 (or 17559 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 69.

The spelling of 6495609942096 in words is "six trillion, four hundred ninety-five billion, six hundred nine million, nine hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 281 528 562 843 1124 1686 2248 3089 3091 3372 4496 6178 6182 6744 9267 9273 12356 12364 13488 14173 18534 18546 24712 24728 28346 33979 37068 37092 42519 49424 49456 56692 67958 74136 74184 85038 101937 113384 135916 148272 148368 155903 170076 203874 226768 271832 311806 340152 407748 467709 543664 623612 680304 815496 868009 935418 1247224 1630992 1736018 1870836 2494448 2604027 3472036 3741672 3982613 5208054 6944072 7483344 7965226 9548099 10416108 11947839 13888144 15930452 19096198 20832216 23895678 28644297 31860904 38192396 41664432 43780397 43808743 47791356 57288594 63721808 76384792 87560794 87617486 95582712 114577188 131341191 131426229 152769584 175121588 175234972 191165424 229154376 262682382 262852458 350243176 350469944 458308752 481584367 525364764 525704916 700486352 700939888 963168734 1050729528 1051409832 1444753101 1926337468 2101459056 2102819664 2889506202 3852674936 5779012404 7705349872 11558024808 12302291557 23116049616 24604583114 36906874671 49209166228 73813749342 98418332456 135325207127 147627498684 196836664912 270650414254 295254997368 405975621381 541300828508 590509994736 811951242762 1082601657016 1623902485524 2165203314032 3247804971048 6495609942096