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10011105055008 = 25347154398719
BaseRepresentation
bin1001000110101110010001…
…0111000101000100100000
31022110001102010100111110000
42101223210113011010200
52303010220343230013
633143012124540000
72052164341635051
oct221534427050440
938401363314400
1010011105055008
11320a75a8a6232
1211582769b1600
13578073a764a5
1426877bd48728
15125629d34973
hex91ae45c5120

10011105055008 has 120 divisors (see below), whose sum is σ = 29857063864320. Its totient is φ = 3290034464640.

The previous prime is 10011105055001. The next prime is 10011105055097. The reversal of 10011105055008 is 80055050111001.

10011105055008 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 105 + 0 + 550 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10011105055001) 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 19 ways as a sum of consecutive naturals, for example, 27015328 + ... + 27383391.

It is an arithmetic number, because the mean of its divisors is an integer number (248808865536).

Almost surely, 210011105055008 is an apocalyptic number.

10011105055008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10011105055008 is an abundant number, since it is smaller than the sum of its proper divisors (19845958809312).

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

10011105055008 is an equidigital number, since it uses as much as digits as its factorization.

10011105055008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54398812 (or 54398795 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 27.

Adding to 10011105055008 its reverse (80055050111001), we get a palindrome (90066155166009).

The spelling of 10011105055008 in words is "ten trillion, eleven billion, one hundred five million, fifty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 284 288 324 426 432 568 639 648 852 864 1136 1278 1296 1704 1917 2272 2556 2592 3408 3834 5112 5751 6816 7668 10224 11502 15336 20448 23004 30672 46008 61344 92016 184032 54398719 108797438 163196157 217594876 326392314 435189752 489588471 652784628 870379504 979176942 1305569256 1468765413 1740759008 1958353884 2611138512 2937530826 3862309049 3916707768 4406296239 5222277024 5875061652 7724618098 7833415536 8812592478 11586927147 11750123304 15449236196 15666831072 17625184956 23173854294 23500246608 30898472392 34760781441 35250369912 46347708588 47000493216 61796944784 69521562882 70500739824 92695417176 104282344323 123593889568 139043125764 141001479648 185390834352 208564688646 278086251528 312847032969 370781668704 417129377292 556172503056 625694065938 834258754584 1112345006112 1251388131876 1668517509168 2502776263752 3337035018336 5005552527504 10011105055008