Search a number
-
+
675389756041 = 721121328212
BaseRepresentation
bin10011101010000000101…
…11011101001010001001
32101120022001222110200221
421311000113131022021
542031144234143131
61234134134230041
766536534130100
oct11650027351211
92346261873627
10675389756041
11240481a01100
12aaa8a7b5321
134b8c58c9400
1424990a17037
151287d723411
hex9d405dd289

675389756041 has 81 divisors (see below), whose sum is σ = 936252961749. Its totient is φ = 485203118400.

The previous prime is 675389756033. The next prime is 675389756051. The reversal of 675389756041 is 140657983576.

It is a happy number.

The square root of 675389756041 is 821821.

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

It can be written as a sum of positive squares in 4 ways, for example, as 231972273225 + 443417482816 = 481635^2 + 665896^2 .

It is not a de Polignac number, because 675389756041 - 23 = 675389756033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (675389756051) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 822642411 + ... + 822643231.

Almost surely, 2675389756041 is an apocalyptic number.

675389756041 is the 821821-st square number.

675389756041 is the 410911-st centered octagonal number.

It is an amenable number.

675389756041 is a deficient number, since it is larger than the sum of its proper divisors (260863205708).

675389756041 is an equidigital number, since it uses as much as digits as its factorization.

675389756041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 675389756041 in words is "six hundred seventy-five billion, three hundred eighty-nine million, seven hundred fifty-six thousand, forty-one".

Divisors: 1 7 11 13 49 77 91 121 143 169 539 637 821 847 1001 1183 1573 1859 5747 5929 7007 8281 9031 10673 11011 13013 20449 40229 63217 74711 77077 91091 99341 117403 138749 143143 442519 522977 674041 695387 821821 971243 1002001 1291433 1526239 4718287 4867709 5752747 6798701 7414451 8762533 9040031 10683673 16788629 33028009 51901157 61337731 63280217 74785711 81558961 96387863 113912929 117520403 363308099 429364117 570912727 674715041 797390503 822642821 1060266493 1253042219 3996389089 4723005287 5581733521 7421865451 8771295533 13783464409 51953058157 61399068731 96484250863 675389756041