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115665051160 = 2352926315449
BaseRepresentation
bin110101110111000101…
…1001001111000011000
3102001112220012101121201
41223232023021320120
53343340223114120
6125045155243544
711233200466411
oct1535613117030
9361486171551
10115665051160
11450649a697a
121a4bbba95b4
13aba407c499
145853722808
15301e61b40a
hex1aee2c9e18

115665051160 has 96 divisors (see below), whose sum is σ = 270006516000. Its totient is φ = 44591662080.

The previous prime is 115665051143. The next prime is 115665051181. The reversal of 115665051160 is 61150566511.

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 23 ways as a sum of consecutive naturals, for example, 21224116 + ... + 21229564.

It is an arithmetic number, because the mean of its divisors is an integer number (2812567875).

Almost surely, 2115665051160 is an apocalyptic number.

115665051160 is a gapful number since it is divisible by the number (10) 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 115665051160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135003258000).

115665051160 is an abundant number, since it is smaller than the sum of its proper divisors (154341464840).

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

115665051160 is a wasteful number, since it uses less digits than its factorization.

115665051160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6116 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 115665051160 in words is "one hundred fifteen billion, six hundred sixty-five million, fifty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 631 841 1160 1262 1682 2524 3155 3364 4205 5048 5449 6310 6728 8410 10898 12620 16820 18299 21796 25240 27245 33640 36598 43592 54490 73196 91495 108980 146392 158021 182990 217960 316042 365980 530671 632084 731960 790105 1061342 1264168 1580210 2122684 2653355 3160420 3438319 4245368 4582609 5306710 6320840 6876638 9165218 10613420 13753276 17191595 18330436 21226840 22913045 27506552 34383190 36660872 45826090 68766380 91652180 99711251 137532760 183304360 199422502 398845004 498556255 797690008 997112510 1994225020 2891626279 3988450040 5783252558 11566505116 14458131395 23133010232 28916262790 57832525580 115665051160