Search a number
-
+
38885263291170 = 2335177781046423
BaseRepresentation
bin10001101011101101011100…
…10011100011001100100010
312002200101122212010212111000
420311312232103203030202
520044044004400304140
6214411350543532430
711122240034256342
oct1065665623431442
9162611585125430
1038885263291170
111143216943367a
124440283bba116
131890b3168a74a
149860b1b66d22
15476765613a30
hex235dae4e3322

38885263291170 has 64 divisors (see below), whose sum is σ = 103752390147840. Its totient is φ = 10363568073984.

The previous prime is 38885263291141. The next prime is 38885263291271. The reversal of 38885263291170 is 7119236258883.

38885263291170 is a `hidden beast` number, since 3 + 8 + 8 + 8 + 526 + 3 + 2 + 91 + 17 + 0 = 666.

38885263291170 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×388852632911703 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 38885263291098 and 38885263291107.

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, 40043422 + ... + 41003001.

It is an arithmetic number, because the mean of its divisors is an integer number (1621131096060).

Almost surely, 238885263291170 is an apocalyptic number.

38885263291170 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38885263291170 is an abundant number, since it is smaller than the sum of its proper divisors (64867126856670).

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

38885263291170 is a wasteful number, since it uses less digits than its factorization.

38885263291170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81048216 (or 81048210 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 38885263291170 in words is "thirty-eight trillion, eight hundred eighty-five billion, two hundred sixty-three million, two hundred ninety-one thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1777 3554 5331 8885 10662 15993 17770 26655 31986 47979 53310 79965 95958 159930 239895 479790 81046423 162092846 243139269 405232115 486278538 729417807 810464230 1215696345 1458835614 2188253421 2431392690 3647089035 4376506842 7294178070 10941267105 21882534210 144019493671 288038987342 432058481013 720097468355 864116962026 1296175443039 1440194936710 2160292405065 2592350886078 3888526329117 4320584810130 6480877215195 7777052658234 12961754430390 19442631645585 38885263291170