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161310673225 = 521323721672
BaseRepresentation
bin1001011000111011011…
…1011000100101001001
3120102101000111020122201
42112032313120211021
510120331013020400
6202034411320201
714440300045642
oct2261667304511
9512330436581
10161310673225
1162458740379
122731a750061
1312299970a00
147b43a126c9
1542e1a8a06a
hex258edd8949

161310673225 has 81 divisors (see below), whose sum is σ = 223948476927. Its totient is φ = 115208196480.

The previous prime is 161310673217. The next prime is 161310673229. The reversal of 161310673225 is 522376013161.

The square root of 161310673225 is 401635.

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

161310673225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 93091501881 + 68219171344 = 305109^2 + 261188^2 .

It is not a de Polignac number, because 161310673225 - 23 = 161310673217 is a prime.

It is a super-2 number, since 2×1613106732252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161310673229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 965932092 + ... + 965932258.

Almost surely, 2161310673225 is an apocalyptic number.

161310673225 is the 401635-th square number.

161310673225 is the 200818-th centered octagonal number.

It is an amenable number.

161310673225 is a deficient number, since it is larger than the sum of its proper divisors (62637803702).

161310673225 is an equidigital number, since it uses as much as digits as its factorization.

161310673225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

Adding to 161310673225 its reverse (522376013161), we get a palindrome (683686686386).

The spelling of 161310673225 in words is "one hundred sixty-one billion, three hundred ten million, six hundred seventy-three thousand, two hundred twenty-five".

Divisors: 1 5 13 25 37 65 167 169 185 325 481 835 845 925 1369 2171 2405 4175 4225 6179 6253 6845 10855 12025 17797 27889 28223 30895 31265 34225 54275 80327 88985 139445 141115 154475 156325 228623 231361 362557 401635 444925 697225 705575 1031893 1044251 1143115 1156805 1812785 2008175 2972099 4713241 5159465 5221255 5715575 5784025 9063925 13414609 14860495 23566205 25797325 26106275 38180041 38637287 67073045 74302475 117831025 174389917 190900205 193186435 335365225 496340533 871949585 954501025 965932175 2481702665 4359747925 6452426929 12408513325 32262134645 161310673225