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11449816379904 = 29374125973197
BaseRepresentation
bin1010011010011101111000…
…1111001111001000000000
31111112120222101112100111210
42212213132033033020000
53000043210443124104
640203550101410120
72261136060263460
oct246473617171000
944476871470453
1011449816379904
113714926939911
12134b074409940
13650936761566
142b826190bba0
1514cc81776989
hexa69de3cf200

11449816379904 has 160 divisors (see below), whose sum is σ = 35710861608576. Its totient is φ = 3191586324480.

The previous prime is 11449816379873. The next prime is 11449816379977. The reversal of 11449816379904 is 40997361894411.

It is a super-4 number, since 4×114498163799044 (a number of 53 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12545767 + ... + 13427430.

Almost surely, 211449816379904 is an apocalyptic number.

11449816379904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11449816379904 is an abundant number, since it is smaller than the sum of its proper divisors (24261045228672).

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

11449816379904 is an equidigital number, since it uses as much as digits as its factorization.

11449816379904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25973266 (or 25973250 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 11449816379904 in words is "eleven trillion, four hundred forty-nine billion, eight hundred sixteen million, three hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 256 287 328 336 384 448 492 512 574 656 672 768 861 896 984 1148 1312 1344 1536 1722 1792 1968 2296 2624 2688 3444 3584 3936 4592 5248 5376 6888 7872 9184 10496 10752 13776 15744 18368 20992 27552 31488 36736 55104 62976 73472 110208 146944 220416 440832 25973197 51946394 77919591 103892788 155839182 181812379 207785576 311678364 363624758 415571152 545437137 623356728 727249516 831142304 1064901077 1090874274 1246713456 1454499032 1662284608 2129802154 2181748548 2493426912 2908998064 3194703231 3324569216 4259604308 4363497096 4986853824 5817996128 6389406462 6649138432 7454307539 8519208616 8726994192 9973707648 11635992256 12778812924 13298276864 14908615078 17038417232 17453988384 19947415296 22362922617 23271984512 25557625848 29817230156 34076834464 34907976768 39894830592 44725845234 46543969024 51115251696 59634460312 68153668928 69815953536 89451690468 93087938048 102230503392 119268920624 136307337856 139631907072 178903380936 204461006784 238537841248 272614675712 279263814144 357806761872 408922013568 477075682496 545229351424 715613523744 817844027136 954151364992 1431227047488 1635688054272 1908302729984 2862454094976 3816605459968 5724908189952 11449816379904