Search a number
-
+
10265406642 = 233199955277
BaseRepresentation
bin10011000111101110…
…11010110010110010
3222111102011200121000
421203313122302302
5132010421003032
64414343142430
7512246342151
oct114367326262
928442150530
1010265406642
114398610a47
121ba5a44a16
13c7799561a
146d54cd598
15401336e7c
hex263ddacb2

10265406642 has 32 divisors (see below), whose sum is σ = 22926672000. Its totient is φ = 3404603664.

The previous prime is 10265406623. The next prime is 10265406649. The reversal of 10265406642 is 24660456201.

10265406642 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 5 + 4 + 0 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10265406597 and 10265406606.

It is not an unprimeable number, because it can be changed into a prime (10265406649) 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 15 ways as a sum of consecutive naturals, for example, 466893 + ... + 488384.

It is an arithmetic number, because the mean of its divisors is an integer number (716458500).

Almost surely, 210265406642 is an apocalyptic number.

10265406642 is an abundant number, since it is smaller than the sum of its proper divisors (12661265358).

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

10265406642 is a wasteful number, since it uses less digits than its factorization.

10265406642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955487 (or 955481 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10265406642 in words is "ten billion, two hundred sixty-five million, four hundred six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 199 398 597 1194 1791 3582 5373 10746 955277 1910554 2865831 5731662 8597493 17194986 25792479 51584958 190100123 380200246 570300369 1140600738 1710901107 3421802214 5132703321 10265406642