| Base | Representation |
|---|---|
| bin | 1100011111111000101… |
| … | …0110011011000100000 |
| 3 | 202112020001010101012100 |
| 4 | 3013332022303120200 |
| 5 | 12004220204023042 |
| 6 | 242350120130400 |
| 7 | 21340621563030 |
| oct | 3077612633040 |
| 9 | 675201111170 |
| 10 | 214717642272 |
| 11 | 83074569721 |
| 12 | 35744606a00 |
| 13 | 1732b506643 |
| 14 | a56ca058c0 |
| 15 | 58ba5b224c |
| hex | 31fe2b3620 |
214717642272 has 288 divisors, whose sum is σ = 730790581248. Its totient is φ = 58469672448.
The previous prime is 214717642261. The next prime is 214717642283. The reversal of 214717642272 is 272246717412.
214717642272 is a `hidden beast` number, since 2 + 1 + 471 + 76 + 42 + 2 + 72 = 666.
214717642272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (214717642261) and next prime (214717642283).
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×2147176422722 (a number of 23 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
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 47 ways as a sum of consecutive naturals, for example, 13113963 + ... + 13130325.
It is an arithmetic number, because the mean of its divisors is an integer number (2537467296).
Almost surely, 2214717642272 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 214717642272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365395290624).
214717642272 is an abundant number, since it is smaller than the sum of its proper divisors (516072938976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214717642272 is a wasteful number, since it uses less digits than its factorization.
214717642272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16692 (or 16681 counting only the distinct ones).
The product of its digits is 526848, while the sum is 45.
The spelling of 214717642272 in words is "two hundred fourteen billion, seven hundred seventeen million, six hundred forty-two thousand, two hundred seventy-two".
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