Search a number
-
+
45132666067225 = 521121221472
BaseRepresentation
bin10100100001100010001001…
…00001110101100100011001
312220210122022002122122001001
422100301010201311210121
521403423200003122400
6235553354403025001
712335504352551032
oct1220610441654431
9186718262578031
1045132666067225
1113420724430500
12508b01a66b161
131c24cb8998c09
14b2060b449a89
1553400e382a6a
hex290c44875919

45132666067225 has 27 divisors (see below), whose sum is σ = 61515208474111. Its totient is φ = 32823488416400.

The previous prime is 45132666067217. The next prime is 45132666067277. The reversal of 45132666067225 is 52276066623154.

The square root of 45132666067225 is 6718085.

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

It can be written as a sum of positive squares in only one way, i.e., 16247759784201 + 28884906283024 = 4030851^2 + 5374468^2 .

It is not a de Polignac number, because 45132666067225 - 23 = 45132666067217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 369433602 + ... + 369555748.

Almost surely, 245132666067225 is an apocalyptic number.

45132666067225 is the 6718085-th square number.

45132666067225 is the 3359043-rd centered octagonal number.

It is an amenable number.

45132666067225 is a deficient number, since it is larger than the sum of its proper divisors (16382542406886).

45132666067225 is an frugal number, since it uses more digits than its factorization.

45132666067225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244326 (or 122163 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 55.

The spelling of 45132666067225 in words is "forty-five trillion, one hundred thirty-two billion, six hundred sixty-six million, sixty-seven thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 122147 610735 1343617 3053675 6718085 14779787 33590425 73898935 369494675 14919889609 74599448045 164118785699 372997240225 820593928495 1805306642689 4102969642475 9026533213445 45132666067225