| Base | Representation |
|---|---|
| bin | 1100011001101100101… |
| … | …0110010111101100000 |
| 3 | 202100221021202120110200 |
| 4 | 3012123022302331200 |
| 5 | 11442320003234120 |
| 6 | 241513224225200 |
| 7 | 21251513015400 |
| oct | 3063312627540 |
| 9 | 670837676420 |
| 10 | 213056696160 |
| 11 | 823a1a50290 |
| 12 | 3536030b200 |
| 13 | 171253820a9 |
| 14 | a4521a8800 |
| 15 | 581e874e90 |
| hex | 319b2b2f60 |
213056696160 has 864 divisors, whose sum is σ = 926649333792. Its totient is φ = 44079759360.
The previous prime is 213056696143. The next prime is 213056696231. The reversal of 213056696160 is 61696650312.
213056696160 is a `hidden beast` number, since 21 + 3 + 0 + 5 + 6 + 6 + 9 + 616 + 0 = 666.
213056696160 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-2 number, since 2×2130566961602 (a number of 23 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 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 143 ways as a sum of consecutive naturals, for example, 242937642 + ... + 242938518.
It is an arithmetic number, because the mean of its divisors is an integer number (1072510803).
Almost surely, 2213056696160 is an apocalyptic number.
213056696160 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 213056696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463324666896).
213056696160 is an abundant number, since it is smaller than the sum of its proper divisors (713592637632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213056696160 is a wasteful number, since it uses less digits than its factorization.
213056696160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1236 (or 1218 counting only the distinct ones).
The product of its (nonzero) digits is 349920, while the sum is 45.
The spelling of 213056696160 in words is "two hundred thirteen billion, fifty-six million, six hundred ninety-six thousand, one hundred sixty".
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