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11819408220 = 22365810659
BaseRepresentation
bin10110000000111110…
…11101101101011100
31010111201022011000000
423000133131231130
5143201232030340
65232454534300
7565616212044
oct130037355534
933451264000
1011819408220
115015825374
12235a367390
131164914499
14801a4c724
1549299bd30
hex2c07ddb5c

11819408220 has 84 divisors (see below), whose sum is σ = 37214157960. Its totient is φ = 3151838304.

The previous prime is 11819408203. The next prime is 11819408233. The reversal of 11819408220 is 2280491811.

It is a happy number.

11819408220 is a `hidden beast` number, since 1 + 18 + 19 + 408 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 390750 + ... + 419909.

It is an arithmetic number, because the mean of its divisors is an integer number (443025690).

Almost surely, 211819408220 is an apocalyptic number.

11819408220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11819408220 is an abundant number, since it is smaller than the sum of its proper divisors (25394749740).

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

11819408220 is an equidigital number, since it uses as much as digits as its factorization.

11819408220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810686 (or 810669 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 11819408220 in words is "eleven billion, eight hundred nineteen million, four hundred eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 810659 1621318 2431977 3242636 4053295 4863954 7295931 8106590 9727908 12159885 14591862 16213180 21887793 24319770 29183724 36479655 43775586 48639540 65663379 72959310 87551172 109438965 131326758 145918620 196990137 218877930 262653516 328316895 393980274 437755860 590970411 656633790 787960548 984950685 1181940822 1313267580 1969901370 2363881644 2954852055 3939802740 5909704110 11819408220