Search a number
-
+
106635716433 = 333949470979
BaseRepresentation
bin110001101001111111…
…0111110011101010001
3101012020121220122221000
41203103332332131101
53221342220411213
6120553205252213
710463350430361
oct1432376763521
9335217818830
10106635716433
114125109a074
1218800104069
13a0954cac7c
1452384729a1
152b91a97c73
hex18d3fbe751

106635716433 has 8 divisors (see below), whose sum is σ = 157978839200. Its totient is φ = 71090477604.

The previous prime is 106635716377. The next prime is 106635716449. The reversal of 106635716433 is 334617536601.

106635716433 is a `hidden beast` number, since 1 + 0 + 6 + 635 + 7 + 1 + 6 + 4 + 3 + 3 = 666.

It is not a de Polignac number, because 106635716433 - 214 = 106635700049 is a prime.

It is a super-2 number, since 2×1066357164332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106635796433) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1974735463 + ... + 1974735516.

It is an arithmetic number, because the mean of its divisors is an integer number (19747354900).

Almost surely, 2106635716433 is an apocalyptic number.

It is an amenable number.

106635716433 is a deficient number, since it is larger than the sum of its proper divisors (51343122767).

106635716433 is an equidigital number, since it uses as much as digits as its factorization.

106635716433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949470988 (or 3949470982 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 106635716433 in words is "one hundred six billion, six hundred thirty-five million, seven hundred sixteen thousand, four hundred thirty-three".

Divisors: 1 3 9 27 3949470979 11848412937 35545238811 106635716433