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318079080225 = 34528321512
BaseRepresentation
bin1001010000011101111…
…11011001011100100001
31010102000110220110110000
410220032333121130201
520202411221031400
6402042402330213
731660203400134
oct4501677313441
91112013813400
10318079080225
11112995391915
1251790059969
1323cc1559a0a
141157627621b
158419988600
hex4a0efd9721

318079080225 has 135 divisors (see below), whose sum is σ = 600352310019. Its totient is φ = 166488372000.

The previous prime is 318079080167. The next prime is 318079080229. The reversal of 318079080225 is 522080970813.

It is a happy number.

The square root of 318079080225 is 563985.

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

318079080225 is digitally balanced in base 4, 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 only one way, i.e., 114508468881 + 203570611344 = 338391^2 + 451188^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 318079080225 - 29 = 318079079713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (318079080229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2106483900 + ... + 2106484050.

Almost surely, 2318079080225 is an apocalyptic number.

318079080225 is the 563985-th square number.

318079080225 is the 281993-rd centered octagonal number.

It is an amenable number.

318079080225 is a deficient number, since it is larger than the sum of its proper divisors (282273229794).

318079080225 is an frugal number, since it uses more digits than its factorization.

318079080225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 318079080225 in words is "three hundred eighteen billion, seventy-nine million, eighty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 83 135 151 225 249 405 415 453 675 747 755 1245 1359 2025 2075 2241 2265 3735 3775 4077 6225 6723 6795 6889 11205 11325 12231 12533 18675 20385 20667 22801 33615 33975 34445 37599 56025 61155 62001 62665 68403 101925 103335 112797 114005 168075 172225 186003 187995 205209 305775 310005 313325 338391 342015 516675 558009 563985 570025 615627 930015 939975 1015173 1026045 1040239 1550025 1691955 1710075 1846881 1892483 2790045 2819925 3078135 3120717 4650075 5075865 5130225 5201195 5677449 8459775 9234405 9362151 9462415 13950225 15390675 15603585 17032347 25379325 26005975 28086453 28387245 46172025 46810755 47312075 51097041 78017925 84259359 85161735 140432265 141936225 153291123 157076089 234053775 255485205 421296795 425808675 471228267 702161325 766455615 785380445 1277426025 1413684801 2106483975 2356141335 3832278075 3926902225 4241054403 7068424005 11780706675 12723163209 21205272015 35342120025 63615816045 106026360075 318079080225