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11441934336 = 21237231613
BaseRepresentation
bin10101010011111111…
…00001000000000000
31002112102000111011210
422221333201000000
5141413113344321
65131212210120
7553353560100
oct125177410000
932472014153
1011441934336
114941745688
122273a69940
13110465c061
147a786d200
1546e787b76
hex2a9fe1000

11441934336 has 312 divisors, whose sum is σ = 36693583104. Its totient is φ = 3158507520.

The previous prime is 11441934307. The next prime is 11441934397. The reversal of 11441934336 is 63343914411.

It is a super-2 number, since 2×114419343362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11441934294 and 11441934303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18665166 + ... + 18665778.

Almost surely, 211441934336 is an apocalyptic number.

11441934336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11441934336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18346791552).

11441934336 is an abundant number, since it is smaller than the sum of its proper divisors (25251648768).

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

11441934336 is an equidigital number, since it uses as much as digits as its factorization.

11441934336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 656 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The spelling of 11441934336 in words is "eleven billion, four hundred forty-one million, nine hundred thirty-four thousand, three hundred thirty-six".