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23114621056 = 273747103843
BaseRepresentation
bin10101100001101111…
…010010000010000000
32012122220020102010011
4111201233102002000
5334314320333211
614341350314304
71445542015522
oct254157220200
965586212104
1023114621056
119891667a0a
124591058994
132244a51987
141193c07a12
15904401921
hex561bd2080

23114621056 has 64 divisors (see below), whose sum is σ = 48299921280. Its totient is φ = 11005590528.

The previous prime is 23114621051. The next prime is 23114621083. The reversal of 23114621056 is 65012641132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (23114621051) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 170671 + ... + 274513.

It is an arithmetic number, because the mean of its divisors is an integer number (754686270).

Almost surely, 223114621056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23114621056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24149960640).

23114621056 is an abundant number, since it is smaller than the sum of its proper divisors (25185300224).

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

23114621056 is a wasteful number, since it uses less digits than its factorization.

23114621056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103941 (or 103929 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 23114621056 in words is "twenty-three billion, one hundred fourteen million, six hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 47 64 74 94 128 148 188 296 376 592 752 1184 1504 1739 2368 3008 3478 4736 6016 6956 13912 27824 55648 103843 111296 207686 222592 415372 830744 1661488 3322976 3842191 4880621 6645952 7684382 9761242 13291904 15368764 19522484 30737528 39044968 61475056 78089936 122950112 156179872 180582977 245900224 312359744 361165954 491800448 624719488 722331908 1444663816 2889327632 5778655264 11557310528 23114621056