Search a number
-
+
4165664225544 = 233257856447577
BaseRepresentation
bin111100100111100100111…
…011111011100100001000
3112202020022022011022122100
4330213210323323210020
51021222240020204134
612505402453153400
7606650020456323
oct74474473734410
915666268138570
104165664225544
111366714947268
1257340062b860
13242a886b8bb3
141058952197ba
1573559d56999
hex3c9e4efb908

4165664225544 has 24 divisors (see below), whose sum is σ = 11282007277710. Its totient is φ = 1388554741824.

The previous prime is 4165664225543. The next prime is 4165664225587. The reversal of 4165664225544 is 4455224665614.

4165664225544 is a `hidden beast` number, since 4 + 1 + 6 + 5 + 6 + 64 + 22 + 554 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3165588224100 + 1000076001444 = 1779210^2 + 1000038^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (4165664225543) 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 5 ways as a sum of consecutive naturals, for example, 28928223717 + ... + 28928223860.

Almost surely, 24165664225544 is an apocalyptic number.

It is an amenable number.

4165664225544 is an abundant number, since it is smaller than the sum of its proper divisors (7116343052166).

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

4165664225544 is a wasteful number, since it uses less digits than its factorization.

4165664225544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57856447589 (or 57856447582 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 54.

The spelling of 4165664225544 in words is "four trillion, one hundred sixty-five billion, six hundred sixty-four million, two hundred twenty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 57856447577 115712895154 173569342731 231425790308 347138685462 462851580616 520708028193 694277370924 1041416056386 1388554741848 2082832112772 4165664225544