Base | Representation |
---|---|
bin | 10011110000110101… |
… | …00011000110110110 |
3 | 1000101102212222100220 |
4 | 21320122203012312 |
5 | 133212200110204 |
6 | 4512500315210 |
7 | 523633605144 |
oct | 117032430666 |
9 | 30342788326 |
10 | 10610160054 |
11 | 455518231a |
12 | 20813a2b06 |
13 | 1001232720 |
14 | 7291d2594 |
15 | 4217361d9 |
hex | 2786a31b6 |
10610160054 has 128 divisors (see below), whose sum is σ = 24690355200. Its totient is φ = 3010560000.
The previous prime is 10610159977. The next prime is 10610160083. The reversal of 10610160054 is 45006101601.
10610160054 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 3×106101600543 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Curzon number.
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, 23630422 + ... + 23630870.
It is an arithmetic number, because the mean of its divisors is an integer number (192893400).
Almost surely, 210610160054 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10610160054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12345177600).
10610160054 is an abundant number, since it is smaller than the sum of its proper divisors (14080195146).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10610160054 is a wasteful number, since it uses less digits than its factorization.
10610160054 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 806.
The product of its (nonzero) digits is 720, while the sum is 24.
Adding to 10610160054 its reverse (45006101601), we get a palindrome (55616261655).
The spelling of 10610160054 in words is "ten billion, six hundred ten million, one hundred sixty thousand, fifty-four".
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