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11106055008 = 2532183121061
BaseRepresentation
bin10100101011111100…
…01111001101100000
31001200000000001100200
422111332033031200
5140221122230013
65034013145200
7542134624056
oct122576171540
931600001320
1011106055008
11478a095564
12219b48b200
13107cbab1a9
14774dda1d6
1545003ce73
hex295f8f360

11106055008 has 72 divisors (see below), whose sum is σ = 31601593296. Its totient is φ = 3699820800.

The previous prime is 11106055003. The next prime is 11106055019. The reversal of 11106055008 is 80055060111.

11106055008 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 605 + 50 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106055003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516798 + ... + 537858.

It is an arithmetic number, because the mean of its divisors is an integer number (438911018).

Almost surely, 211106055008 is an apocalyptic number.

11106055008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11106055008 is an abundant number, since it is smaller than the sum of its proper divisors (20495538288).

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

11106055008 is a wasteful number, since it uses less digits than its factorization.

11106055008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22908 (or 22897 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 11106055008 in words is "eleven billion, one hundred six million, fifty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1831 3662 5493 7324 10986 14648 16479 21061 21972 29296 32958 42122 43944 58592 63183 65916 84244 87888 126366 131832 168488 175776 189549 252732 263664 336976 379098 505464 527328 673952 758196 1010928 1516392 2021856 3032784 6065568 38562691 77125382 115688073 154250764 231376146 308501528 347064219 462752292 617003056 694128438 925504584 1234006112 1388256876 1851009168 2776513752 3702018336 5553027504 11106055008