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11476045634000 = 2453283152313313
BaseRepresentation
bin1010011011111111100110…
…0111111001100111010000
31111122002200100111111221012
42212333321213321213100
53001010420140242000
640224004513350052
72263055052254153
oct246777147714720
944562610444835
1011476045634000
113724a66642712
121354174568328
1365325686285c
142b962d23bc9a
1514d7b9312735
hexa6ff99f99d0

11476045634000 has 160 divisors (see below), whose sum is σ = 27867509115264. Its totient is φ = 4570850918400.

The previous prime is 11476045633973. The next prime is 11476045634077. The reversal of 11476045634000 is 43654067411.

It is a congruent number.

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, 862011344 + ... + 862024656.

Almost surely, 211476045634000 is an apocalyptic number.

11476045634000 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 11476045634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13933754557632).

11476045634000 is an abundant number, since it is smaller than the sum of its proper divisors (16391463481264).

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

11476045634000 is a wasteful number, since it uses less digits than its factorization.

11476045634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15142 (or 15126 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 11476045634000 in words is "eleven trillion, four hundred seventy-six billion, forty-five million, six hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 283 400 500 566 1000 1132 1415 1523 2000 2264 2830 3046 4528 5660 6092 7075 7615 11320 12184 13313 14150 15230 22640 24368 26626 28300 30460 35375 38075 53252 56600 60920 66565 70750 76150 106504 113200 121840 133130 141500 152300 190375 213008 266260 283000 304600 332825 380750 431009 532520 566000 609200 665650 761500 862018 1065040 1331300 1523000 1664125 1724036 2155045 2662600 3046000 3328250 3448072 3767579 4310090 5325200 6656500 6896144 7535158 8620180 10775225 13313000 15070316 17240360 18837895 20275699 21550450 26626000 30140632 34480720 37675790 40551398 43100900 53876125 60281264 75351580 81102796 86201800 94189475 101378495 107752250 150703160 162205592 172403600 188378950 202756990 215504500 301406320 324411184 376757900 405513980 431009000 470947375 506892475 753515800 811027960 862018000 941894750 1013784950 1507031600 1622055920 1883789500 2027569900 2534462375 3767579000 4055139800 5068924750 5738022817 7535158000 8110279600 10137849500 11476045634 20275699000 22952091268 28690114085 40551398000 45904182536 57380228170 91808365072 114760456340 143450570425 229520912680 286901140850 459041825360 573802281700 717252852125 1147604563400 1434505704250 2295209126800 2869011408500 5738022817000 11476045634000