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119953405660 = 225112197933023
BaseRepresentation
bin110111110110111000…
…1111011011011011100
3102110121202111101002011
41233231301323123130
53431131032440120
6131034505441004
711444362060564
oct1575561733334
9373552441064
10119953405660
1146965630100
121b2b81a0164
13b40865215a
145b3d097da4
1531c0d4ec5a
hex1bedc7b6dc

119953405660 has 144 divisors (see below), whose sum is σ = 295155302400. Its totient is φ = 40799341440.

The previous prime is 119953405643. The next prime is 119953405673. The reversal of 119953405660 is 66504359911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3615909 + ... + 3648931.

It is an arithmetic number, because the mean of its divisors is an integer number (2049689600).

Almost surely, 2119953405660 is an apocalyptic number.

119953405660 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 119953405660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147577651200).

119953405660 is an abundant number, since it is smaller than the sum of its proper divisors (175201896740).

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

119953405660 is a wasteful number, since it uses less digits than its factorization.

119953405660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33152 (or 33139 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 49.

The spelling of 119953405660 in words is "one hundred nineteen billion, nine hundred fifty-three million, four hundred five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 79 95 110 121 158 190 209 220 242 316 380 395 418 484 605 790 836 869 1045 1210 1501 1580 1738 2090 2299 2420 3002 3476 4180 4345 4598 6004 7505 8690 9196 9559 11495 15010 16511 17380 19118 22990 30020 33022 33023 38236 45980 47795 66044 66046 82555 95590 132092 165110 165115 181621 191180 330220 330230 363242 363253 627437 660460 726484 726506 908105 1254874 1453012 1816210 1816265 2509748 2608817 3137185 3632420 3632530 3995783 5217634 6274370 6901807 7265060 7991566 10435268 12548740 13044085 13803614 15983132 19978915 26088170 27607228 28696987 34509035 39957830 49567523 52176340 57393974 69018070 75919877 79915660 99135046 114787948 138036140 143484935 151839754 198270092 247837615 286969870 303679508 315666857 379599385 495675230 545242753 573939740 631333714 759198770 991350460 1090485506 1262667428 1518397540 1578334285 2180971012 2726213765 3156668570 5452427530 5997670283 6313337140 10904855060 11995340566 23990681132 29988351415 59976702830 119953405660