| Base | Representation |
|---|---|
| bin | 1100010100010011001… |
| … | …0000001001001000000 |
| 3 | 202020012021120200010000 |
| 4 | 3011010302001021000 |
| 5 | 11431332441010224 |
| 6 | 241113332040000 |
| 7 | 21200553611622 |
| oct | 3050462011100 |
| 9 | 666167520100 |
| 10 | 211607360064 |
| 11 | 81818924661 |
| 12 | 35016a63000 |
| 13 | 16c5401b479 |
| 14 | a3558d2c12 |
| 15 | 57874d70c9 |
| hex | 3144c81240 |
211607360064 has 105 divisors (see below), whose sum is σ = 627368700937. Its totient is φ = 70524746496.
The previous prime is 211607360059. The next prime is 211607360099. The reversal of 211607360064 is 460063706112.
It is a happy number.
The square root of 211607360064 is 460008.
It is a perfect power (a square), and thus also a powerful number.
211607360064 is a `hidden beast` number, since 2 + 11 + 607 + 36 + 0 + 0 + 6 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 595750464 + 211011609600 = 24408^2 + 459360^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33117382 + ... + 33123770.
Almost surely, 2211607360064 is an apocalyptic number.
211607360064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
211607360064 is the 460008-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211607360064
211607360064 is an abundant number, since it is smaller than the sum of its proper divisors (415761340873).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211607360064 is an frugal number, since it uses more digits than its factorization.
211607360064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12802 (or 6394 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
Multiplying 211607360064 by its sum of digits (36), we get a square (7617864962304 = 27600482).
211607360064 divided by its sum of digits (36) gives a square (5877982224 = 766682).
The spelling of 211607360064 in words is "two hundred eleven billion, six hundred seven million, three hundred sixty thousand, sixty-four".
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