Search a number
-
+
5673253041 = 3483692
BaseRepresentation
bin1010100100010011…
…01111100010110001
3112122101020010010000
411102021233202301
543104323044131
62334541300213
7260405566221
oct52211574261
915571203100
105673253041
112451448a85
121123b64669
136c5494881
143bb676081
152330e3ce6
hex15226f8b1

5673253041 has 15 divisors (see below), whose sum is σ = 8475872251. Its totient is φ = 3781716768.

The previous prime is 5673253021. The next prime is 5673253063. The reversal of 5673253041 is 1403523765.

The square root of 5673253041 is 75321.

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

5673253041 is a `hidden beast` number, since 56 + 7 + 32 + 530 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4105093041 + 1568160000 = 64071^2 + 39600^2 .

It is not a de Polignac number, because 5673253041 - 27 = 5673252913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5673252987 and 5673253005.

It is not an unprimeable number, because it can be changed into a prime (5673253021) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 673705 + ... + 682073.

Almost surely, 25673253041 is an apocalyptic number.

5673253041 is the 75321-st square number.

5673253041 is the 37661-st centered octagonal number.

It is an amenable number.

5673253041 is a deficient number, since it is larger than the sum of its proper divisors (2802619210).

5673253041 is an frugal number, since it uses more digits than its factorization.

5673253041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16750 (or 8372 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The cubic root of 5673253041 is about 1783.5175404172.

Multiplying 5673253041 by its sum of digits (36), we get a square (204237109476 = 4519262).

The spelling of 5673253041 in words is "five billion, six hundred seventy-three million, two hundred fifty-three thousand, forty-one".

Divisors: 1 3 9 27 81 8369 25107 75321 225963 677889 70040161 210120483 630361449 1891084347 5673253041