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4082288224266 = 233758011861697
BaseRepresentation
bin111011011001111011010…
…101101110100000001010
3112110021002200111121112000
4323121323111232200022
51013341011241134031
612403213300131430
7600635623242360
oct73317325564012
915407080447460
104082288224266
11133431a30648a
1255b212096b76
13237c5c0117b5
14101825d5d630
15712ca2c13e6
hex3b67b56e80a

4082288224266 has 64 divisors (see below), whose sum is σ = 10369508924160. Its totient is φ = 1166166374400.

The previous prime is 4082288224237. The next prime is 4082288224277. The reversal of 4082288224266 is 6624228822804.

4082288224266 is a `hidden beast` number, since 4 + 0 + 82 + 2 + 88 + 224 + 266 = 666.

It is a super-2 number, since 2×40822882242662 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261930 + ... + 3123626.

It is an arithmetic number, because the mean of its divisors is an integer number (162023576940).

Almost surely, 24082288224266 is an apocalyptic number.

4082288224266 is an abundant number, since it is smaller than the sum of its proper divisors (6287220699894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4082288224266 is a wasteful number, since it uses less digits than its factorization.

4082288224266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867516 (or 1867510 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 4082288224266 in words is "four trillion, eighty-two billion, two hundred eighty-eight million, two hundred twenty-four thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 5801 11602 17403 34806 40607 52209 81214 104418 121821 156627 243642 313254 365463 730926 1096389 1861697 2192778 3723394 5585091 11170182 13031879 16755273 26063758 33510546 39095637 50265819 78191274 100531638 117286911 234573822 351860733 703721466 10799704297 21599408594 32399112891 64798225782 75597930079 97197338673 151195860158 194394677346 226793790237 291592016019 453587580474 583184032038 680381370711 1360762741422 2041144112133 4082288224266