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675149805625 = 5423214292
BaseRepresentation
bin10011101001100100001…
…00000111100000111001
32101112200100110201121111
421310302010013200321
542030201322240000
61234054243240321
766530561442151
oct11646204074071
92345610421544
10675149805625
11240369511879
12aaa223790a1
134b887c95009
142496abd5761
1512867626cba
hex9d32107839

675149805625 has 45 divisors (see below), whose sum is σ = 882560820603. Its totient is φ = 516274836000.

The previous prime is 675149805623. The next prime is 675149805637. The reversal of 675149805625 is 526508941576.

It is a happy number.

The square root of 675149805625 is 821675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 674847463081 + 302342544 = 821491^2 + 17388^2 .

It is not a de Polignac number, because 675149805625 - 21 = 675149805623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 675149805625.

It is not an unprimeable number, because it can be changed into a prime (675149805623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 472462411 + ... + 472463839.

Almost surely, 2675149805625 is an apocalyptic number.

675149805625 is the 821675-th square number.

675149805625 is the 410838-th centered octagonal number.

It is an amenable number.

675149805625 is a deficient number, since it is larger than the sum of its proper divisors (207411014978).

675149805625 is an frugal number, since it uses more digits than its factorization.

675149805625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 58.

The spelling of 675149805625 in words is "six hundred seventy-five billion, one hundred forty-nine million, eight hundred five thousand, six hundred twenty-five".

Divisors: 1 5 23 25 115 125 529 575 625 1429 2645 2875 7145 13225 14375 32867 35725 66125 164335 178625 330625 755941 821675 893125 2042041 3779705 4108375 10210205 18898525 20541875 46966943 51051025 94492625 234834715 255255125 472463125 1080239689 1174173575 1276275625 5401198445 5870867875 27005992225 29354339375 135029961125 675149805625