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110056004856 = 2333772788363
BaseRepresentation
bin110011001111111011…
…0010101110011111000
3101112001222210022121000
41212133312111303320
53300343314123411
6122320430045000
710644201414630
oct1463766256370
9345058708530
10110056004856
1142746822416
12193b5649760
13a4bbca8585
1454808016c0
152ce1eab956
hex199fd95cf8

110056004856 has 64 divisors (see below), whose sum is σ = 349384147200. Its totient is φ = 31444572384.

The previous prime is 110056004843. The next prime is 110056004857. The reversal of 110056004856 is 658400650011.

110056004856 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 5 + 600 + 48 + 5 + 6 = 666.

110056004856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1100560048562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 110056004856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110056004857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36392670 + ... + 36395693.

It is an arithmetic number, because the mean of its divisors is an integer number (5459127300).

Almost surely, 2110056004856 is an apocalyptic number.

It is an amenable number.

110056004856 is an abundant number, since it is smaller than the sum of its proper divisors (239328142344).

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

110056004856 is a wasteful number, since it uses less digits than its factorization.

110056004856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72788385 (or 72788375 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 110056004856 its reverse (658400650011), we get a palindrome (768456654867).

The spelling of 110056004856 in words is "one hundred ten billion, fifty-six million, four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 72788363 145576726 218365089 291153452 436730178 509518541 582306904 655095267 873460356 1019037082 1310190534 1528555623 1746920712 1965285801 2038074164 2620381068 3057111246 3930571602 4076148328 4585666869 5240762136 6114222492 7861143204 9171333738 12228444984 13757000607 15722286408 18342667476 27514001214 36685334952 55028002428 110056004856