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11340063456 = 2531012634447
BaseRepresentation
bin10101000111110101…
…11010001011100000
31002021022022220121020
422203322322023200
5141211024012311
65113132525440
7551005643331
oct124372721340
932238286536
1011340063456
11489a196577
122245920880
1310b9511b27
14798112288
15465863c06
hex2a3eba2e0

11340063456 has 96 divisors (see below), whose sum is σ = 30183487488. Its totient is φ = 3727526400.

The previous prime is 11340063431. The next prime is 11340063467. The reversal of 11340063456 is 65436004311.

11340063456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×113400634562 (a number of 21 digits) contains 22 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 15 ways as a sum of consecutive naturals, for example, 2547825 + ... + 2552271.

It is an arithmetic number, because the mean of its divisors is an integer number (314411328).

Almost surely, 211340063456 is an apocalyptic number.

11340063456 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 11340063456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15091743744).

11340063456 is an abundant number, since it is smaller than the sum of its proper divisors (18843424032).

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

11340063456 is a wasteful number, since it uses less digits than its factorization.

11340063456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 11340063456 its reverse (65436004311), we get a palindrome (76776067767).

The spelling of 11340063456 in words is "eleven billion, three hundred forty million, sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 263 303 404 526 606 789 808 1052 1212 1578 1616 2104 2424 3156 3232 4208 4447 4848 6312 8416 8894 9696 12624 13341 17788 25248 26563 26682 35576 53126 53364 71152 79689 106252 106728 142304 159378 212504 213456 318756 425008 426912 449147 637512 850016 898294 1169561 1275024 1347441 1796588 2339122 2550048 2694882 3508683 3593176 4678244 5389764 7017366 7186352 9356488 10779528 14034732 14372704 18712976 21559056 28069464 37425952 43118112 56138928 112277856 118125661 236251322 354376983 472502644 708753966 945005288 1417507932 1890010576 2835015864 3780021152 5670031728 11340063456