Search a number
-
+
10004147265 = 35795277593
BaseRepresentation
bin10010101000100101…
…10010110001000001
3221211012120100002210
421110102302301001
5130442030203030
64332411332333
7502624564050
oct112422626101
927735510083
1010004147265
114274097a02
121b324510a9
13c35810088
146ac922397
153d842bbb0
hex2544b2c41

10004147265 has 16 divisors (see below), whose sum is σ = 18293298048. Its totient is φ = 4573324416.

The previous prime is 10004147243. The next prime is 10004147269. The reversal of 10004147265 is 56274140001.

10004147265 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10004147265 - 210 = 10004146241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10004147269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47638692 + ... + 47638901.

It is an arithmetic number, because the mean of its divisors is an integer number (1143331128).

Almost surely, 210004147265 is an apocalyptic number.

10004147265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10004147265 is a deficient number, since it is larger than the sum of its proper divisors (8289150783).

10004147265 is an equidigital number, since it uses as much as digits as its factorization.

10004147265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95277608.

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 10004147265 its reverse (56274140001), we get a palindrome (66278287266).

The spelling of 10004147265 in words is "ten billion, four million, one hundred forty-seven thousand, two hundred sixty-five".

Divisors: 1 3 5 7 15 21 35 105 95277593 285832779 476387965 666943151 1429163895 2000829453 3334715755 10004147265