| Base | Representation |
|---|---|
| bin | 1100100000000100110… |
| … | …1000111010001100000 |
| 3 | 202112100120222021012000 |
| 4 | 3020001031013101200 |
| 5 | 12004321224022210 |
| 6 | 242355140004000 |
| 7 | 21342110543424 |
| oct | 3100115072140 |
| 9 | 675316867160 |
| 10 | 214768579680 |
| 11 | 830a029a756 |
| 12 | 35759690600 |
| 13 | 17338c2c615 |
| 14 | a5756a4b84 |
| 15 | 58becc4ac0 |
| hex | 3201347460 |
214768579680 has 192 divisors, whose sum is σ = 752000760000. Its totient is φ = 57247948800.
The previous prime is 214768579679. The next prime is 214768579687. The reversal of 214768579680 is 86975867412.
214768579680 is a `hidden beast` number, since 2 + 1 + 476 + 85 + 7 + 9 + 6 + 80 = 666.
It is a super-2 number, since 2×2147685796802 (a number of 23 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (214768579687) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12091446 + ... + 12109194.
It is an arithmetic number, because the mean of its divisors is an integer number (3916670625).
Almost surely, 2214768579680 is an apocalyptic number.
214768579680 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 214768579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376000380000).
214768579680 is an abundant number, since it is smaller than the sum of its proper divisors (537232180320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214768579680 is a wasteful number, since it uses less digits than its factorization.
214768579680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20574 (or 20560 counting only the distinct ones).
The product of its (nonzero) digits is 40642560, while the sum is 63.
The spelling of 214768579680 in words is "two hundred fourteen billion, seven hundred sixty-eight million, five hundred seventy-nine thousand, six hundred eighty".
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