Search a number
-
+
10082183706 = 2327108773613
BaseRepresentation
bin10010110001111000…
…11110101000011010
3222000122101222222100
421120330132220122
5131122014334311
64344240104230
7504563101410
oct113074365032
928018358870
1010082183706
114304147931
121b54605076
13c48a3379a
146b90372b0
153e01e3a56
hex258f1ea1a

10082183706 has 48 divisors (see below), whose sum is σ = 24988713984. Its totient is φ = 2877934752.

The previous prime is 10082183669. The next prime is 10082183717. The reversal of 10082183706 is 60738128001.

10082183706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100156 + ... + 173768.

It is an arithmetic number, because the mean of its divisors is an integer number (520598208).

Almost surely, 210082183706 is an apocalyptic number.

10082183706 is an abundant number, since it is smaller than the sum of its proper divisors (14906530278).

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

10082183706 is a wasteful number, since it uses less digits than its factorization.

10082183706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74715 (or 74712 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10082183706 in words is "ten billion, eighty-two million, one hundred eighty-three thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1087 2174 3261 6522 7609 9783 15218 19566 22827 45654 68481 73613 136962 147226 220839 441678 515291 662517 1030582 1325034 1545873 3091746 4637619 9275238 80017331 160034662 240051993 480103986 560121317 720155979 1120242634 1440311958 1680363951 3360727902 5041091853 10082183706