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11194486416 = 243429392
BaseRepresentation
bin10100110110011111…
…00100111010010000
31001220011101211110000
422123033210322100
5140411242031131
65050452410000
7544260364431
oct123317447220
931804354400
1011194486416
114824aa5373
122205016900
131095301179
14782a59488
15457ba9ce6
hex29b3e4e90

11194486416 has 75 divisors (see below), whose sum is σ = 32411119411. Its totient is φ = 3730225824.

The previous prime is 11194486397. The next prime is 11194486427. The reversal of 11194486416 is 61468449111.

The square root of 11194486416 is 105804.

It is a perfect power (a square), and thus also a powerful number.

11194486416 is a `hidden beast` number, since 1 + 1 + 194 + 48 + 6 + 416 = 666.

11194486416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111944864162 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 3807475 + ... + 3810413.

Almost surely, 211194486416 is an apocalyptic number.

11194486416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11194486416 is the 105804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11194486416

11194486416 is an abundant number, since it is smaller than the sum of its proper divisors (21216632995).

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

11194486416 is an frugal number, since it uses more digits than its factorization.

11194486416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 2944 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 11194486416 in words is "eleven billion, one hundred ninety-four million, four hundred eighty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2939 5878 8817 11756 17634 23512 26451 35268 47024 52902 70536 79353 105804 141072 158706 211608 238059 317412 423216 476118 634824 952236 1269648 1904472 3808944 8637721 17275442 25913163 34550884 51826326 69101768 77739489 103652652 138203536 155478978 207305304 233218467 310957956 414610608 466436934 621915912 699655401 932873868 1243831824 1399310802 1865747736 2798621604 3731495472 5597243208 11194486416