Base | Representation |
---|---|
bin | 1001101001010001110001… |
… | …1000011101101010000000 |
3 | 1101112210201021212002120000 |
4 | 2122110130120131222000 |
5 | 2342222012102210200 |
6 | 34315431033320000 |
7 | 2143111413232053 |
oct | 232243430355200 |
9 | 41483637762500 |
10 | 10604750428800 |
11 | 34194a4174030 |
12 | 1233331566000 |
13 | 5bc040022138 |
14 | 2893b626aa9a |
15 | 135cc1d6a300 |
hex | 9a51c61da80 |
10604750428800 has 2880 divisors, whose sum is σ = 45701043696000. Its totient is φ = 2400664780800.
The previous prime is 10604750428799. The next prime is 10604750428807. The reversal of 10604750428800 is 882405740601.
10604750428800 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 47 + 504 + 28 + 80 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a super-2 number, since 2×106047504288002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10604750428807) by changing a digit.
It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 119154499156 + ... + 119154499244.
It is an arithmetic number, because the mean of its divisors is an integer number (15868417950).
Almost surely, 210604750428800 is an apocalyptic number.
10604750428800 is a gapful number since it is divisible by the number (10) 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 10604750428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22850521848000).
10604750428800 is an abundant number, since it is smaller than the sum of its proper divisors (35096293267200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10604750428800 is a wasteful number, since it uses less digits than its factorization.
10604750428800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 261 (or 212 counting only the distinct ones).
The product of its (nonzero) digits is 430080, while the sum is 45.
The spelling of 10604750428800 in words is "ten trillion, six hundred four billion, seven hundred fifty million, four hundred twenty-eight thousand, eight hundred".
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