Search a number
-
+
54106223648017 = 1273852671105813
BaseRepresentation
bin11000100110101100101100…
…01111011001110100010001
321002120111121202101101101211
430103112112033121310101
524042434021223214032
6311024020032500121
714253021442510162
oct1423262617316421
9232514552341354
1054106223648017
1116270358780712
12609a1949aa641
13242626c540bb8
14d50a80393769
1563c661418747
hex3135963d9d11

54106223648017 has 8 divisors (see below), whose sum is σ = 54532447763456. Its totient is φ = 53680002514992.

The previous prime is 54106223647997. The next prime is 54106223648027. The reversal of 54106223648017 is 71084632260145.

54106223648017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54106223648017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54106223648027) 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, 48376003 + ... + 49481815.

It is an arithmetic number, because the mean of its divisors is an integer number (6816555970432).

Almost surely, 254106223648017 is an apocalyptic number.

It is an amenable number.

54106223648017 is a deficient number, since it is larger than the sum of its proper divisors (426224115439).

54106223648017 is a wasteful number, since it uses less digits than its factorization.

54106223648017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491207.

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 54106223648017 in words is "fifty-four trillion, one hundred six billion, two hundred twenty-three million, six hundred forty-eight thousand, seventeen".

Divisors: 1 127 385267 1105813 48928909 140438251 426033257071 54106223648017