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470720860281 = 32723728832
BaseRepresentation
bin1101101100110010010…
…01100101000001111001
31200000000100100022021100
412312121021211001321
530203014020012111
61000125101402013
746002621203100
oct6663111450171
91600010308240
10470720860281
111716a4721471
127728b569309
1335509219c29
1418ad6823037
15c3a044c756
hex6d99265079

470720860281 has 81 divisors (see below), whose sum is σ = 813815262351. Its totient is φ = 261417137184.

The previous prime is 470720860279. The next prime is 470720860301. The reversal of 470720860281 is 182068027074.

The square root of 470720860281 is 686091.

It is a perfect power (a square), and thus also a powerful number.

470720860281 is a `hidden beast` number, since 470 + 7 + 20 + 86 + 0 + 2 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 421207490025 + 49513370256 = 649005^2 + 222516^2 .

It is not a de Polignac number, because 470720860281 - 21 = 470720860279 is a prime.

It is a super-2 number, since 2×4707208602812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (470720860201) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 533092266 + ... + 533093148.

Almost surely, 2470720860281 is an apocalyptic number.

470720860281 is the 686091-st square number.

470720860281 is the 343046-th centered octagonal number.

It is an amenable number.

470720860281 is a deficient number, since it is larger than the sum of its proper divisors (343094402070).

470720860281 is an frugal number, since it uses more digits than its factorization.

470720860281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 470720860281 in words is "four hundred seventy billion, seven hundred twenty million, eight hundred sixty thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 37 49 63 111 147 259 333 441 777 883 1369 1813 2331 2649 4107 5439 6181 7947 9583 12321 16317 18543 28749 32671 43267 55629 67081 86247 98013 129801 201243 228697 294039 389403 603729 686091 779689 1208827 1600879 2058273 2339067 3626481 4802637 5457823 7017201 8461789 10879443 14407911 16373469 25385367 28848493 38204761 49120407 59232523 76156101 86545479 114614283 177697569 201939451 259636437 343842849 533092707 605818353 1067394241 1413576157 1817455059 3202182723 4240728471 7471759687 9606548169 12722185413 22415279061 52302317809 67245837183 156906953427 470720860281