| Base | Representation |
|---|---|
| bin | 1100011001101011101… |
| … | …0111110110100000000 |
| 3 | 202100220222221221120000 |
| 4 | 3012122322332310000 |
| 5 | 11442312423103100 |
| 6 | 241512555320000 |
| 7 | 21251432540544 |
| oct | 3063272766400 |
| 9 | 670828857500 |
| 10 | 213052550400 |
| 11 | 8239a679538 |
| 12 | 3535aa50000 |
| 13 | 17124560091 |
| 14 | a451809a24 |
| 15 | 581e306900 |
| hex | 319aebed00 |
213052550400 has 540 divisors, whose sum is σ = 794942123052. Its totient is φ = 56295751680.
The previous prime is 213052550393. The next prime is 213052550423. The reversal of 213052550400 is 4055250312.
It is a happy number.
213052550400 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 5 + 255 + 0 + 400 = 666.
213052550400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 105069332736 + 107983217664 = 324144^2 + 328608^2 .
It is a tau number, because it is divible by the number of its divisors (540).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58577382 + ... + 58581018.
Almost surely, 2213052550400 is an apocalyptic number.
213052550400 is a gapful number since it is divisible by the number (20) 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 213052550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397471061526).
213052550400 is an abundant number, since it is smaller than the sum of its proper divisors (581889572652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213052550400 is a wasteful number, since it uses less digits than its factorization.
213052550400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3788 (or 3760 counting only the distinct ones).
The product of its (nonzero) digits is 6000, while the sum is 27.
The spelling of 213052550400 in words is "two hundred thirteen billion, fifty-two million, five hundred fifty thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.082 sec. • engine limits •