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11704421344 = 25711192937233
BaseRepresentation
bin10101110011010001…
…10100101111100000
31010012200221012122211
422321220310233200
5142432312440334
65213230211504
7563021640250
oct127150645740
933180835584
1011704421344
114a66927aa0
122327953b94
131146b54305
147d0679960
15487836a64
hex2b9a34be0

11704421344 has 384 divisors, whose sum is σ = 32267289600. Its totient is φ = 4041031680.

The previous prime is 11704421321. The next prime is 11704421371. The reversal of 11704421344 is 44312440711.

It is a happy number.

11704421344 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-3 number, since 3×117044213443 (a number of 31 digits) contains 333 as substring.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 50233452 + ... + 50233684.

It is an arithmetic number, because the mean of its divisors is an integer number (84029400).

Almost surely, 211704421344 is an apocalyptic number.

11704421344 is a gapful number since it is divisible by the number (14) 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 11704421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16133644800).

11704421344 is an abundant number, since it is smaller than the sum of its proper divisors (20562868256).

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

11704421344 is a wasteful number, since it uses less digits than its factorization.

11704421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

It can be divided in two parts, 11704 and 421344, that multiplied together give a square (4931410176 = 702242).

The spelling of 11704421344 in words is "eleven billion, seven hundred four million, four hundred twenty-one thousand, three hundred forty-four".