Search a number
-
+
17954124049 = 1339932
BaseRepresentation
bin10000101110001001…
…100011000100010001
31201100020212000001101
4100232021203010101
5243232223432144
612125323104401
71203630351661
oct205611430421
951306760041
1017954124049
1176836a9154
123590972101
13190188a354
14c246c81a1
157013456d4
hex42e263111

17954124049 has 3 divisors (see below), whose sum is σ = 17954258043. Its totient is φ = 17953990056.

The previous prime is 17954124037. The next prime is 17954124053. The reversal of 17954124049 is 94042145971.

The square root of 17954124049 is 133993.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 7706206225 + 10247917824 = 87785^2 + 101232^2 .

It is not a de Polignac number, because 17954124049 - 211 = 17954122001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17954124079) 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 2 ways as a sum of consecutive naturals, for example, 66997 + ... + 200989.

It is an arithmetic number, because the mean of its divisors is an integer number (5984752681).

Almost surely, 217954124049 is an apocalyptic number.

17954124049 is the 133993-rd square number.

17954124049 is the 66997-th centered octagonal number.

It is an amenable number.

17954124049 is a deficient number, since it is larger than the sum of its proper divisors (133994).

17954124049 is an frugal number, since it uses more digits than its factorization.

17954124049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267986 (or 133993 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 17954124049 in words is "seventeen billion, nine hundred fifty-four million, one hundred twenty-four thousand, forty-nine".

Divisors: 1 133993 17954124049